Edit Profile (opens in new tab) Lowen, Robert Compute Distance To: Compute Author ID: lowen.robert Published as: Lowen, R.; Lowen, Robert Documents Indexed: 144 Publications since 1974, including 4 Books 12 Contributions as Editor Reviewing Activity: 10 Reviews Co-Authors: 43 Co-Authors with 102 Joint Publications 601 Co-Co-Authors all top 5 Co-Authors 51 single-authored 25 Colebunders, Eva 18 Wuyts, P. 14 Sioen, Mark 5 Berckmoes, Ben 5 Van Casteren, Jan A. 5 Van Olmen, Christophe 5 Windels, Bart 4 Banaschewski, Bernhard 4 Srivastava, Arun Kamar 4 Verschoren, Alain H. M. J. 3 Aull, Charles Edward 3 Blasco, Natividad 3 Robeys, K. 3 Tholen, Walter 3 Verbeeck, Cédric 3 Xu, Luoshan 2 Baekeland, R. 2 Herrlich, Horst 2 Hušek, Miroslav 2 Lee, Yoonjin 2 Verwulgen, Stijn 2 Vroegrijk, Tom 1 Bentley, H. Lamar 1 De Wachter, Stefan 1 Di Maio, Giuseppe 1 Elsalamony, Galal M. 1 Giuli, Eraldo 1 Hofmann, Dirk 1 Iglesias, María Teresa 1 Klement, Erich Peter 1 Künzi, Hans-Peter A. 1 Lucyshyn-Wright, Rory B. B. 1 Naimpally, Somashekhar Amrith 1 Naudts, Bart 1 Nauwelaerts, Mark 1 Rosiers, W. 1 Roubens, Marc 1 Sagiroglu, Sevda 1 Schwyhla, Werner 1 Seal, Gavin J. 1 Soultan, N. A. 1 Steinlage, Ralph C. 1 van Geenhoven, A. 1 van Opdenbosch, Karen 1 Vandersmissen, Eva all top 5 Serials 21 Topology and its Applications 20 Fuzzy Sets and Systems 13 Journal of Mathematical Analysis and Applications 9 International Journal of Mathematics and Mathematical Sciences 6 Rocky Mountain Journal of Mathematics 6 Mathematische Nachrichten 4 Acta Mathematica Hungarica 3 Houston Journal of Mathematics 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Commentationes Mathematicae Universitatis Carolinae 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 3 Applied Categorical Structures 3 The Journal of Fuzzy Mathematics 2 Information Sciences 2 Manuscripta Mathematica 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Mathematical Modelling: Theory and Applications 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 International Journal of General Systems 1 Indian Journal of Mathematics 1 Journal of Approximation Theory 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Stochastica 1 Fuzzy Mathematics 1 Order 1 MSCS. Mathematical Structures in Computer Science 1 Set-Valued Analysis 1 Journal of Convex Analysis 1 Applied General Topology 1 General Topology and its Applications 1 Research and Exposition in Mathematics 1 Theory and Decision Library. Series D: System Theory, Knowledge Engineering and Problem Solving 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 Springer Monographs in Mathematics 1 Oxford Mathematical Monographs all top 5 Fields 137 General topology (54-XX) 47 Category theory; homological algebra (18-XX) 15 Mathematical logic and foundations (03-XX) 13 Probability theory and stochastic processes (60-XX) 10 Functional analysis (46-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 2,535 times in 1,110 Documents Cited by ▼ Year ▼ Fuzzy topological spaces and fuzzy compactness. Zbl 0342.54003Lowen, R. 430 1976 A comparison of different compactness notions in fuzzy topological spaces. Zbl 0381.54004Lowen, R. 180 1978 Convergence in fuzzy topological spaces. Zbl 0409.54008Lowen, R. 139 1979 Fuzzy neighborhood spaces. Zbl 0487.54008Lowen, R. 134 1982 Approach spaces: the missing link in the topology-uniformity-metric triad. Zbl 0891.54001Lowen, Robert 113 1997 Fuzzy uniform spaces. Zbl 0494.54005Lowen, R. 110 1981 Initial and final fuzzy topologies and the fuzzy Tychonoff theorem. Zbl 0347.54002Lowen, R. 106 1977 Convex fuzzy sets. Zbl 0439.52001Lowen, R. 81 1980 The categorical topology approach to fuzzy topology and fuzzy convergence. Zbl 0728.54001Lowen, E.; Lowen, R.; Wuyts, P. 60 1991 On the existence of natural non-topological, fuzzy topological spaces. Zbl 0568.54007Lowen, R. 43 1985 Approach spaces - a common supercategory of TOP and MET. Zbl 0676.54012Lowen, R. 41 1989 On separation axioms in fuzzy topological spaces, fuzzy neighborhood spaces, and fuzzy uniform spaces. Zbl 0515.54004Wuyts, P.; Lowen, R. 41 1983 On (R(L),+). Zbl 0527.54006Lowen, R. 38 1983 Completeness, compactness, and precompactness in fuzzy uniform spaces. II. Zbl 0546.54011Lowen, R.; Wuyts, P. 35 1983 On fuzzy complements. Zbl 0416.03047Lowen, R. 34 1978 Compact Hausdorff fuzzy topological spaces are topological. Zbl 0437.54004Lowen, R. 34 1981 A fuzzy Lagrange interpolation theorem. Zbl 0685.41005Lowen, R. 30 1990 Topologies floues. Zbl 0287.54002Lowen, Robert 30 1974 \(FTS_ 0:\) The epireflective hull of the Sierpinski object in FTS. Zbl 0658.54005Lowen, R.; Srivastava, Arun K. 27 1989 Fuzzy probability measures. Zbl 0447.28005Klement, Erich Peter; Schwyhla, Werner; Lowen, Robert 27 1981 Compactness notions in fuzzy neighborhood spaces. Zbl 0503.54007Lowen, Robert 27 1982 A quasitopos containing CONV and MET as full subcategories. Zbl 0672.54003Lowen, E.; Lowen, R. 26 1988 Connectedness in fuzzy topological spaces. Zbl 0487.54007Lowen, R. 26 1981 Reflectors and coreflectors in the category of fuzzy topological spaces. Zbl 0669.54004Wuyts, P.; Lowen, R.; Lowen, E. 26 1988 On the reflectiveness and coreflectiveness of subcategories of FTS. Zbl 0679.54005Lowen, R.; Wuyts, P.; Lowen, E. 25 1989 Index analysis. Approach theory at work. Zbl 1311.54002Lowen, Robert 25 2015 Characterization of convergence in fuzzy topological spaces. Zbl 0593.54005Lowen, E.; Lowen, R. 24 1985 Fuzzy set theory. Basic concepts, techniques and bibliography. Zbl 0854.04006Lowen, Robert 21 1996 A topological universe extension of FTS. Zbl 0774.54002Lowen, E.; Lowen, R. 20 1992 The relation between filter and net convergence in fuzzy topological spaces. Zbl 0569.54007Lowen, R. 20 1983 Completeness, compactness, and precompactness in fuzzy uniform spaces. I. Zbl 0504.54005Lowen, R.; Wuyts, P. 20 1982 On the existence of natural fuzzy topologies on spaces of probability measures. Zbl 0593.54006Lowen, R. 19 1984 AUnif: A common supercategory of pMET and Unif. Zbl 0890.54024Lowen, Robert; Windels, Bart 19 1998 Stable subconstructs of \(FTS\). I. Zbl 0799.54005Lowen, R.; Wuyts, P. 19 1993 Kuratowski’s measure of non-compactness revisited. Zbl 0672.54025Lowen, R. 18 1988 Topological quasitopos hulls of categories containing topological and metric objects. Zbl 0706.18002Lowen, E.; Lowen, R. 18 1989 Metrically generated theories. Zbl 1073.54006Colebunders, E.; Lowen, R. 17 2005 On local and global measures of separation in fuzzy topological spaces. Zbl 0606.54004Wuyts, P.; Lowen, R. 17 1986 Concerning the constants in fuzzy topology. Zbl 0646.54007Lowen, R.; Wuyts, P. 15 1988 On simultaneously reflective and coreflective subconstructs. Zbl 0986.18005Herrlich, Horst; Lowen, Robert 15 1999 Hyperspaces of fuzzy sets. Zbl 0546.54010Lowen, R. 14 1983 The order aspect of the fuzzy real line. Zbl 0562.54010Lowen, Robert 13 1984 Sober approach spaces. Zbl 1114.54007Banaschewski, B.; Lowen, R.; Van Olmen, C. 13 2006 Sierpinski objects in subcategories of FTS. Zbl 0658.54004Lowen, R.; Srivastava, A. K. 12 1988 Distances on probability measures and random variables. Zbl 1205.60018Berckmoes, B.; Lowen, R.; Van Casteren, J. 11 2011 Stable subconstructs of FTS. II. Zbl 0860.54006Lowen, R.; Wuyts, P. 11 1995 A complete characterization of the level spaces of R(I) and I(I). Zbl 0612.54009Lowen, R. 10 1986 Improving constructions in topology. Zbl 0753.18002Bentley, H. L.; Herrlich, Horst; Lowen, R. 10 1991 \(I^ X\), the hyperspace of fuzzy sets, a natural nontopological fuzzy topological space. Zbl 0541.54007Lowen, R. 10 1983 A note on separation in AP. Zbl 1058.54010Lowen, R.; Sioen, M. 9 2003 Mathematics and fuzziness, some personal reflections. Zbl 0588.03038Lowen, R. 8 1985 Gap functionals, proximities and hyperspace compactification. Zbl 1101.54013Di Maio, G.; Lowen, R.; Naimpally, S. A.; Sioen, M. 8 2005 Approximations in functional analysis. Zbl 0965.46004Lowen, R.; Sioen, M. 8 2000 Fuzzy integers, fuzzy rationals and other subspaces of the fuzzy real line. Zbl 0579.54006Lowen, R. 7 1984 On the quantification of uniform properties. Zbl 0937.54017Lowen, Robert; Windels, Bart 7 1997 The Wijsman and Attouch-Wets topologies on hyperspaces revisited. Zbl 0846.54005Lowen, R.; Sioen, M. 7 1996 An isometric study of the Lindeberg-Feller central limit theorem via Stein’s method. Zbl 1306.60006Berckmoes, B.; Lowen, R.; Van Casteren, J. 6 2013 Satured collections of metrics. Zbl 1068.54001Colebunders, E.; Sioen, M.; Lowen, R. 6 2004 On measures of compactness in fuzzy topological spaces. Zbl 0648.54007Lowen, E.; Lowen, R. 6 1988 On Preuss’ connectedness concept in FTS. Zbl 0783.54006Lowen, R.; Srivastava, Arun K. 6 1992 Metric spaces viewed as fuzzy topological spaces induced by Lipschitz functions. Zbl 0592.54005Lowen, R. 6 1985 Approach theory meets probability theory. Zbl 1213.60020Berckmoes, B.; Lowen, R.; Van Casteren, J. 6 2011 Distances between fuzzy sets representing grey level images. Zbl 0944.68190Lowen, R.; Peeters, W. 6 1998 A Kuratowski-Mrówka theorem in approach theory. Zbl 1101.18002Colebunders, E.; Lowen, R.; Wuyts, P. 6 2005 Approach vector spaces. Zbl 1070.46004Lowen, R.; Verwulgen, S. 6 2004 Fuzzy neighborhood convergence spaces. Zbl 0851.54005Blasco, N.; Lowen, R. 6 1995 Completing Quasi-metric Spaces – an Alternative Approach. Zbl 1032.54013Lowen, R.; Sioen, M.; Vaughan, D. 6 2003 An Ascoli theorem in approach theory. Zbl 1052.54002Lowen, R. 6 2004 Approach groups. Zbl 0974.54024Lowen, Robert; Windels, B. 6 2000 Convergence floue. Zbl 0305.54007Lowen, Robert 6 1975 Uniqueness of completion for metrically generated constructs. Zbl 1131.54014Colebunders, E.; Lowen, R.; Vandersmissen, E. 5 2007 Spaces modelled by an algebra on \([0,\infty ]\) and their complete objects. Zbl 1214.18001Colebunders, E.; Giuli, E.; Lowen, R. 5 2010 Exponential objects in the construct PRAP. Zbl 0888.54015Lowen, E.; Lowen, R.; Verbeeck, C. 5 1997 A unified functional look at completion in MET, UNIF and AP. Zbl 0987.54021Lowen, Robert; Sioen, M. 5 2000 Products of metric spaces. Zbl 0803.54011Lowen, R.; Robeys, K. 5 1992 Fixed points of contractive maps on dcpo’s. Zbl 1342.68194Colebunders, E.; De Wachter, S.; Lowen, R. 4 2014 Completions of products of metric spaces. Zbl 0796.54033Lowen, R.; Robeys, K. 4 1992 Compactness properties in the fuzzy real line. Zbl 0557.54004Lowen, R. 4 1984 Alternative characterizations of \(\mathbf{FNCS}\). Zbl 0934.54007Lowen, R.; Xu, Luoshan 4 1999 Approach theory in merotopic, Cauchy and convergence spaces. I. Zbl 0924.54013Lowen, R.; Lee, Yoon Jin 4 1999 Weak representations of quantified hyperspace structures. Zbl 0985.54013Lowen, Robert; Sioen, M. 4 2000 Quantifying completion. Zbl 0962.54023Lowen, Robert; Windels, Bart 4 2000 Supercategories of Top and the inevitable emergence of topological constructs. Zbl 1008.54007Lowen-Colebunders, E.; Lowen, R. 4 2001 Compactifications of products of metric spaces and their relations to Čech-Stone and Smirnov compactifications. Zbl 0802.54018Lowen, R.; Robeys, K. 4 1994 Measures of compactness in approach spaces. Zbl 0838.54020Baekeland, R.; Lowen, R. 4 1995 Functional ideals and topological theories. Zbl 1173.18002Lowen, R.; van Olmen, C.; Vroegrijk, T. 4 2008 Completeness properties of hyperspaces of compact fuzzy sets. Zbl 0655.54005Lowen, R.; Maes, P. 3 1987 The role of the diagonal operator in fuzzy topology. Zbl 0658.54006Lowen, E.; Lowen, R. 3 1988 Stein’s method and a quantitative Lindeberg CLT for the Fourier transforms of random vectors. Zbl 1326.60027Berckmoes, B.; Lowen, R.; Van Casteren, J. 3 2016 Regularity in approach theory. Zbl 1164.54010Banaschewski, B.; Lowen, R.; van Olmen, C. 3 2007 Lax algebras via initial monad morphisms: APP, TOP, MET and ORD. Zbl 1232.18006Colebunders, E.; Lowen, R.; Rosiers, W. 3 2011 Proximal hypertopologies revisited. Zbl 0916.54011Lowen, R.; Sioen, M. 3 1998 Handbook of the history of general topology. Volume 3. Papers from the special session of the American Mathematical Society meeting, San Antonio, TX, USA, 1993. Zbl 0980.00038 3 2001 Connectedness in FTS from different points of view. Zbl 0922.54012Lowen, Robert; Xu, Luoshan 3 1999 A topological category suited for approximation theory? Zbl 0675.41046Lowen, R. 3 1989 The Wallman compactification in fuzzy neighborhood spaces. Zbl 0776.54005Blasco, N.; Lowen, R. 3 1993 Regularity for relational algebras and approach spaces. Zbl 1336.18002Colebunders, E.; Lowen, R.; van Opdenbosch, K. 3 2016 Mathematics and fuzziness. Zbl 0615.03042Lowen, R. 2 1986 On the relation between fuzzy equalities, pseudometrics, and uniformities. Zbl 0567.54004Lowen, R. 2 1984 On the fundamentals of fuzzy sets. Zbl 0577.04001Lowen, R. 2 1984 Zero dimensionality of the Čech-Stone compactification of an approach space. Zbl 1473.54025Colebunders, E.; Lowen, R. 1 2020 Stein’s method and a quantitative Lindeberg CLT for the Fourier transforms of random vectors. Zbl 1326.60027Berckmoes, B.; Lowen, R.; Van Casteren, J. 3 2016 Regularity for relational algebras and approach spaces. Zbl 1336.18002Colebunders, E.; Lowen, R.; van Opdenbosch, K. 3 2016 Index analysis. Approach theory at work. Zbl 1311.54002Lowen, Robert 25 2015 Fixed points of contractive maps on dcpo’s. Zbl 1342.68194Colebunders, E.; De Wachter, S.; Lowen, R. 4 2014 An isometric study of the Lindeberg-Feller central limit theorem via Stein’s method. Zbl 1306.60006Berckmoes, B.; Lowen, R.; Van Casteren, J. 6 2013 Compact Hausdorff approach frames. Zbl 1236.06006Banaschewski, Bernhard; Lowen, Robert; Van Olmen, Christophe 1 2012 Local metrically generated theories. Zbl 1245.54011Colebunders, E.; Lowen, R.; Van Geenhoven, A. 1 2012 Distances on probability measures and random variables. Zbl 1205.60018Berckmoes, B.; Lowen, R.; Van Casteren, J. 11 2011 Approach theory meets probability theory. Zbl 1213.60020Berckmoes, B.; Lowen, R.; Van Casteren, J. 6 2011 Lax algebras via initial monad morphisms: APP, TOP, MET and ORD. Zbl 1232.18006Colebunders, E.; Lowen, R.; Rosiers, W. 3 2011 Stable subconstructs: a correction and new results. Zbl 1226.18004Lowen, R.; Wuyts, P. 1 2011 Spaces modelled by an algebra on \([0,\infty ]\) and their complete objects. Zbl 1214.18001Colebunders, E.; Giuli, E.; Lowen, R. 5 2010 Approach theory. Zbl 1192.54002Lowen, Robert; Van Olmen, Christophe 2 2009 Bornologies and metrically generated theories. Zbl 1162.54010Colebunders, E.; Lowen, R. 1 2009 A new lax algebraic characterization of approach spaces. Zbl 1279.06007Lowen, Robert; Vroegrijk, Tom 1 2009 Functional ideals and topological theories. Zbl 1173.18002Lowen, R.; van Olmen, C.; Vroegrijk, T. 4 2008 Uniqueness of completion for metrically generated constructs. Zbl 1131.54014Colebunders, E.; Lowen, R.; Vandersmissen, E. 5 2007 Regularity in approach theory. Zbl 1164.54010Banaschewski, B.; Lowen, R.; van Olmen, C. 3 2007 Sober approach spaces. Zbl 1114.54007Banaschewski, B.; Lowen, R.; Van Olmen, C. 13 2006 Metrically generated theories. Zbl 1073.54006Colebunders, E.; Lowen, R. 17 2005 Gap functionals, proximities and hyperspace compactification. Zbl 1101.54013Di Maio, G.; Lowen, R.; Naimpally, S. A.; Sioen, M. 8 2005 A Kuratowski-Mrówka theorem in approach theory. Zbl 1101.18002Colebunders, E.; Lowen, R.; Wuyts, P. 6 2005 Satured collections of metrics. Zbl 1068.54001Colebunders, E.; Sioen, M.; Lowen, R. 6 2004 Approach vector spaces. Zbl 1070.46004Lowen, R.; Verwulgen, S. 6 2004 An Ascoli theorem in approach theory. Zbl 1052.54002Lowen, R. 6 2004 A cancellation law for partially ordered sets and \(T_0\) spaces. Zbl 1052.06001Banaschewski, B.; Lowen, R. 2 2004 On the multitude of monoidal closed structures on \(\mathcal{UAP}\). Zbl 1050.18004Lowen, R.; Sioen, M. 1 2004 A note on separation in AP. Zbl 1058.54010Lowen, R.; Sioen, M. 9 2003 Completing Quasi-metric Spaces – an Alternative Approach. Zbl 1032.54013Lowen, R.; Sioen, M.; Vaughan, D. 6 2003 Supercategories of Top and the inevitable emergence of topological constructs. Zbl 1008.54007Lowen-Colebunders, E.; Lowen, R. 4 2001 Handbook of the history of general topology. Volume 3. Papers from the special session of the American Mathematical Society meeting, San Antonio, TX, USA, 1993. Zbl 0980.00038 3 2001 The Cartesian closed hull of the category of approach spaces. Zbl 0999.18006Lowen-Colebunders, E.; Lowen, R.; Nauwelaerts, M. 1 2001 Approximations in functional analysis. Zbl 0965.46004Lowen, R.; Sioen, M. 8 2000 Approach groups. Zbl 0974.54024Lowen, Robert; Windels, B. 6 2000 A unified functional look at completion in MET, UNIF and AP. Zbl 0987.54021Lowen, Robert; Sioen, M. 5 2000 Weak representations of quantified hyperspace structures. Zbl 0985.54013Lowen, Robert; Sioen, M. 4 2000 Quantifying completion. Zbl 0962.54023Lowen, Robert; Windels, Bart 4 2000 A Wallman-Shanin-type compactification for approach spaces. Zbl 0968.54018Lowen, R.; Sioen, M. 2 2000 A complete classification of the simultaneously bireflective and bicoreflective subconstructs of approach spaces. Zbl 0964.54008Lowen, R.; Wuyts, P. 2 2000 Multivalued sheaf constructions. Zbl 1122.54301Lowen, R.; Verschoren, A.; Soultan, N. A. 1 2000 On simultaneously reflective and coreflective subconstructs. Zbl 0986.18005Herrlich, Horst; Lowen, Robert 15 1999 Alternative characterizations of \(\mathbf{FNCS}\). Zbl 0934.54007Lowen, R.; Xu, Luoshan 4 1999 Approach theory in merotopic, Cauchy and convergence spaces. I. Zbl 0924.54013Lowen, R.; Lee, Yoon Jin 4 1999 Connectedness in FTS from different points of view. Zbl 0922.54012Lowen, Robert; Xu, Luoshan 3 1999 A non quasi-metric completion for quasi-metric spaces. Zbl 0935.54023Lowen, R.; Vaughan, D. 2 1999 A short note on fuzzy neighborhood convergence spaces. Zbl 0937.54005Blasco, N.; Lowen, R.; Xu, Luoshan 1 1999 AUnif: A common supercategory of pMET and Unif. Zbl 0890.54024Lowen, Robert; Windels, Bart 19 1998 Distances between fuzzy sets representing grey level images. Zbl 0944.68190Lowen, R.; Peeters, W. 6 1998 Proximal hypertopologies revisited. Zbl 0916.54011Lowen, R.; Sioen, M. 3 1998 Local compactness in approach spaces. I. Zbl 0906.54020Lowen, R.; Verbeeck, C. 1 1998 Handbook of the history of general topology. Volume 2. Zbl 0902.54001 1 1998 Stable subconstructs of FTS. III: Exotic cases. Zbl 0936.54008Lowen, R.; Verschoren, A.; Wuyts, P. 1 1998 Approach spaces: the missing link in the topology-uniformity-metric triad. Zbl 0891.54001Lowen, Robert 113 1997 On the quantification of uniform properties. Zbl 0937.54017Lowen, Robert; Windels, Bart 7 1997 Exponential objects in the construct PRAP. Zbl 0888.54015Lowen, E.; Lowen, R.; Verbeeck, C. 5 1997 Applications of approach theory in functional analysis. Zbl 0912.46009Lowen, R.; Sioen, M. 2 1997 Stability under homeomorphisms in FTS. Zbl 0883.54003Lowen, R.; Wuyts, P. 1 1997 Handbook of the history of general topology. Volume 1. Zbl 0888.54001 1 1997 Fuzzy set theory. Basic concepts, techniques and bibliography. Zbl 0854.04006Lowen, Robert 21 1996 The Wijsman and Attouch-Wets topologies on hyperspaces revisited. Zbl 0846.54005Lowen, R.; Sioen, M. 7 1996 Stable subconstructs of FTS. II. Zbl 0860.54006Lowen, R.; Wuyts, P. 11 1995 Fuzzy neighborhood convergence spaces. Zbl 0851.54005Blasco, N.; Lowen, R. 6 1995 Measures of compactness in approach spaces. Zbl 0838.54020Baekeland, R.; Lowen, R. 4 1995 Compactifications of products of metric spaces and their relations to Čech-Stone and Smirnov compactifications. Zbl 0802.54018Lowen, R.; Robeys, K. 4 1994 Measures of Lindelöf and separability in approach spaces. Zbl 0813.54022Baekeland, R.; Lowen, R. 2 1994 A note on stable subconstructs of FTS determined by level sets. Zbl 0818.54004Elsalamony, G.; Lowen, R. 1 1994 Stable subconstructs of \(FTS\). I. Zbl 0799.54005Lowen, R.; Wuyts, P. 19 1993 The Wallman compactification in fuzzy neighborhood spaces. Zbl 0776.54005Blasco, N.; Lowen, R. 3 1993 A topological universe extension of FTS. Zbl 0774.54002Lowen, E.; Lowen, R. 20 1992 On Preuss’ connectedness concept in FTS. Zbl 0783.54006Lowen, R.; Srivastava, Arun K. 6 1992 Products of metric spaces. Zbl 0803.54011Lowen, R.; Robeys, K. 5 1992 Completions of products of metric spaces. Zbl 0796.54033Lowen, R.; Robeys, K. 4 1992 The categorical topology approach to fuzzy topology and fuzzy convergence. Zbl 0728.54001Lowen, E.; Lowen, R.; Wuyts, P. 60 1991 Improving constructions in topology. Zbl 0753.18002Bentley, H. L.; Herrlich, Horst; Lowen, R. 10 1991 A fuzzy Lagrange interpolation theorem. Zbl 0685.41005Lowen, R. 30 1990 Approach spaces - a common supercategory of TOP and MET. Zbl 0676.54012Lowen, R. 41 1989 \(FTS_ 0:\) The epireflective hull of the Sierpinski object in FTS. Zbl 0658.54005Lowen, R.; Srivastava, Arun K. 27 1989 On the reflectiveness and coreflectiveness of subcategories of FTS. Zbl 0679.54005Lowen, R.; Wuyts, P.; Lowen, E. 25 1989 Topological quasitopos hulls of categories containing topological and metric objects. Zbl 0706.18002Lowen, E.; Lowen, R. 18 1989 A topological category suited for approximation theory? Zbl 0675.41046Lowen, R. 3 1989 On the nonsimplicity of some convergence categories. Zbl 0679.18003Lowen, E.; Lowen, R. 2 1989 Non Archimedean metric induced fuzzy uniform spaces. Zbl 0684.54018Lowen, R.; Srivastava, A. K.; Wuyts, P. 2 1989 A quasitopos containing CONV and MET as full subcategories. Zbl 0672.54003Lowen, E.; Lowen, R. 26 1988 Reflectors and coreflectors in the category of fuzzy topological spaces. Zbl 0669.54004Wuyts, P.; Lowen, R.; Lowen, E. 26 1988 Kuratowski’s measure of non-compactness revisited. Zbl 0672.54025Lowen, R. 18 1988 Concerning the constants in fuzzy topology. Zbl 0646.54007Lowen, R.; Wuyts, P. 15 1988 Sierpinski objects in subcategories of FTS. Zbl 0658.54004Lowen, R.; Srivastava, A. K. 12 1988 On measures of compactness in fuzzy topological spaces. Zbl 0648.54007Lowen, E.; Lowen, R. 6 1988 The role of the diagonal operator in fuzzy topology. Zbl 0658.54006Lowen, E.; Lowen, R. 3 1988 Completeness properties of hyperspaces of compact fuzzy sets. Zbl 0655.54005Lowen, R.; Maes, P. 3 1987 On local and global measures of separation in fuzzy topological spaces. Zbl 0606.54004Wuyts, P.; Lowen, R. 17 1986 A complete characterization of the level spaces of R(I) and I(I). Zbl 0612.54009Lowen, R. 10 1986 Mathematics and fuzziness. Zbl 0615.03042Lowen, R. 2 1986 On the existence of natural non-topological, fuzzy topological spaces. Zbl 0568.54007Lowen, R. 43 1985 Characterization of convergence in fuzzy topological spaces. Zbl 0593.54005Lowen, E.; Lowen, R. 24 1985 Mathematics and fuzziness, some personal reflections. Zbl 0588.03038Lowen, R. 8 1985 Metric spaces viewed as fuzzy topological spaces induced by Lipschitz functions. Zbl 0592.54005Lowen, R. 6 1985 On the existence of natural fuzzy topologies on spaces of probability measures. Zbl 0593.54006Lowen, R. 19 1984 The order aspect of the fuzzy real line. Zbl 0562.54010Lowen, Robert 13 1984 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 788 Authors 69 Lowen, Robert 34 Colebunders, Eva 33 Morsi, Nehad Nashaat 24 Jäger, Gunther 24 Shi, Fu-Gui 24 Zhang, Dexue 22 Höhle, Ulrich 22 Srivastava, Arun Kamar 20 de Prada Vicente, María Angeles 20 Gutiérrez García, Javier 19 Ahsanullah, T. M. G. 18 Wuyts, P. 17 Fang, Jinming 17 Klement, Erich Peter 17 Sioen, Mark 17 Solovyov, Sergey A. 16 Warner, Mary Wynne 15 Katsaras, Athanasios K. 15 Li, Shenggang 15 Rodabaugh, Stephen Ernest 14 Hofmann, Dirk 13 Kubiak, Tomasz 13 Luo, Maokang 12 Bayoumi, Fatma 12 Pang, Bin 11 Berckmoes, Ben 11 Hashem, Khaled A. 11 Šostak, Alexander P. 10 Burton, M. H. 10 Liu, Yingming 10 Srivastava, Rekha 10 Tholen, Walter 9 Kerre, Etienne E. 8 Ali, Dewan Muslim 8 Dubois, Didier 8 Fang, Jinxuan 8 Lupiáñez, Francisco Gallego 8 Nouh, Ali Ahmed 8 Prade, Henri M. 8 Richardson, Gary D. 7 Abbasbandy, Saeid 7 Ajmal, Naseem 7 Demirci, Mustafa 7 Kandil, Ali 7 Künzi, Hans-Peter A. 7 Mesiar, Radko 7 Ramadan, Ahmed Abd El-Kader 6 Abbas, Salah El-Deen 6 Al-Thukair, Fawzi A. 6 Alderton, Ian W. 6 Bai, Shizhong 6 Bedregal, Benjamín René Callejas 6 Chen, Shuili 6 Gähler, Werner 6 Gerlo, A. 6 Lai, Hongliang 6 Li, Lingqiang 6 Macho-Stadler, Marta 6 Mardones-Pérez, Iraide 6 Mashhour, Ali S. 6 Qiao, Junsheng 6 Van Olmen, Christophe 6 Vandersmissen, Eva 6 Verwulgen, Stijn 6 Wang, Guojun 6 Yue, Yueli 5 Abd-el Hakeim, K. M. 5 Al-Mufarrij, Jawaher 5 Aygün, Halis 5 Bülbül, Ali 5 Çetkin, Vildan 5 De Baets, Bernard 5 El-Saady, Kamal 5 Ghanim, Mohammad H. 5 Hu, Baoqing 5 Ibedou, Ismail 5 Jin, Qiu 5 Li, Hongyan 5 Mynard, Frédéric 5 Pan, Fuzheng 5 Tiwari, Surabhi 5 Van Casteren, Jan A. 5 Wang, Geping 5 Xu, Luoshan 5 Yao, Wei 5 Zahran, Ahmed M. 4 Alimohammady, Mohsen 4 Artico, Giuliano 4 Butnariu, Dan 4 Das, Phullendu 4 El-Sheikh, Sobhy Ahmed 4 Eroğlu, Mehmet Sait 4 Giuli, Eraldo 4 Johnson, T. P. 4 Kim, Yong Chan 4 Kudri, Soraya R. T. 4 Lal, Shiva Narain 4 Ma, Jiliang 4 Moresco, Roberto 4 Pasadas, Miguel ...and 688 more Authors all top 5 Cited in 114 Serials 530 Fuzzy Sets and Systems 84 Journal of Mathematical Analysis and Applications 69 Topology and its Applications 36 Information Sciences 36 Applied Categorical Structures 33 Quaestiones Mathematicae 20 Soft Computing 18 Journal of Intelligent and Fuzzy Systems 16 Chaos, Solitons and Fractals 16 International Journal of Approximate Reasoning 13 Iranian Journal of Fuzzy Systems 11 New Mathematics and Natural Computation 10 Computers & Mathematics with Applications 9 Kybernetika 8 International Journal of General Systems 7 Journal of Pure and Applied Algebra 7 Journal of the Egyptian Mathematical Society 6 Rocky Mountain Journal of Mathematics 6 Acta Mathematica Hungarica 6 Applied Mathematics Letters 5 Applied Mathematics and Computation 5 International Journal of Mathematics and Mathematical Sciences 5 Manuscripta Mathematica 4 Cahiers de Topologie et Géométrie Différentielle Catégoriques 4 Mathematische Nachrichten 4 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 4 Journal of Applied Mathematics and Computing 4 Advances in Fuzzy Systems 4 Journal of Mathematics 3 Algebra Universalis 3 Archive for Mathematical Logic 3 Filomat 3 Abstract and Applied Analysis 3 Hacettepe Journal of Mathematics and Statistics 3 Fuzzy Optimization and Decision Making 3 Fixed Point Theory and Applications 3 Afrika Matematika 2 Periodica Mathematica Hungarica 2 Advances in Mathematics 2 Demonstratio Mathematica 2 Journal of Optimization Theory and Applications 2 Kybernetes 2 Matematički Vesnik 2 Results in Mathematics 2 Mathematical Social Sciences 2 Stochastic Analysis and Applications 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Mathematical Logic Quarterly (MLQ) 2 Theory and Applications of Categories 2 Mathematical Problems in Engineering 2 Acta Mathematica Sinica. English Series 2 Advances in Difference Equations 2 Tbilisi Mathematical Journal 2 Applied General Topology 2 Symmetry 2 Journal of Advanced Studies in Topology 2 International Journal of Analysis 2 Journal of Function Spaces 2 Categories and General Algebraic Structures with Applications 1 Communications in Algebra 1 Journal of Mathematical Biology 1 Czechoslovak Mathematical Journal 1 Journal of Approximation Theory 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Cybernetics and Systems 1 Order 1 International Journal of Intelligent Systems 1 Journal of Theoretical Probability 1 Journal of Applied Mathematics and Stochastic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 MSCS. Mathematical Structures in Computer Science 1 Applications of Mathematics 1 Communications in Statistics. Simulation and Computation 1 European Journal of Operational Research 1 Computational Statistics and Data Analysis 1 Acta Mathematica Sinica. New Series 1 Journal of Nonlinear Science 1 The Journal of Analysis 1 Mathematical Methods of Statistics 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Positivity 1 Journal of Inequalities and Applications 1 The Journal of Logic and Algebraic Programming 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 1 Journal of Dynamical Systems and Geometric Theories 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Missouri Journal of Mathematical Sciences 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Thai Journal of Mathematics ...and 14 more Serials all top 5 Cited in 44 Fields 827 General topology (54-XX) 211 Mathematical logic and foundations (03-XX) 180 Category theory; homological algebra (18-XX) 106 Order, lattices, ordered algebraic structures (06-XX) 51 Computer science (68-XX) 49 Functional analysis (46-XX) 36 Real functions (26-XX) 36 Probability theory and stochastic processes (60-XX) 28 Measure and integration (28-XX) 21 Topological groups, Lie groups (22-XX) 19 Operations research, mathematical programming (90-XX) 17 Numerical analysis (65-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Approximations and expansions (41-XX) 15 Group theory and generalizations (20-XX) 15 Information and communication theory, circuits (94-XX) 14 Convex and discrete geometry (52-XX) 12 Statistics (62-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 General algebraic systems (08-XX) 9 Systems theory; control (93-XX) 7 Operator theory (47-XX) 5 Associative rings and algebras (16-XX) 5 Biology and other natural sciences (92-XX) 4 Commutative algebra (13-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Difference and functional equations (39-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 2 Algebraic geometry (14-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Mathematics education (97-XX) Citations by Year