Edit Profile (opens in new tab) Edwards, Robert Duncan Co-Author Distance Author ID: edwards.robert-d Published as: Edwards, Robert D.; Edwards, Robert; Edwards, R. D.; Edwards, R. more...less Homepage: https://www.math.ucla.edu/people/ladder/rde External Links: MGP · Wikidata Documents Indexed: 25 Publications since 1971, including 3 Additional arXiv Preprints Co-Authors: 9 Co-Authors with 8 Joint Publications 239 Co-Co-Authors all top 5 Co-Authors 13 single-authored 1 Adams, Zachary P. 1 Alpern, Steve 1 Ancel, Fredric D. 1 Bossolini, Elena 1 Daverman, Robert J. 1 Ehlting, J. 1 Farquhar, Sebastian 1 Gillman, David Saul 1 Glaser, Leslie C. 1 Glendinning, Paul Alexander 1 Jeffrey, Mike R. 1 Kirby, Robion Cromwell 1 Miller, Richard T. 1 Millett, Kenneth C. 1 Quee, G. 1 Sullivan, Dennis Parnell 1 Webber, Simon all top 5 Serials 3 Topology and its Applications 2 Transactions of the American Mathematical Society 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Mathematika 1 Topology 1 Physica D 1 European Journal of Applied Mathematics 1 Annals of Mathematics. Second Series 1 General Topology and its Applications 1 Journal of Theoretical Biology all top 5 Fields 18 Manifolds and cell complexes (57-XX) 4 General topology (54-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 230 times in 213 Documents Cited by ▼ Year ▼ Deformations of spaces of imbeddings. Zbl 0214.50303 Edwards, R. D.; Kirby, R. C. 109 1971 Foliations with all leaves compact. Zbl 0356.57022 Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 44 1977 Approximating certain cell-like maps by homeomorphisms. Zbl 0479.57008 Edwards, Robert D. 12 1980 The topology of manifolds and cell-like maps. Zbl 0428.57004 Edwards, Robert D. 11 1980 The solution of the 4-dimensional annulus conjecture (after Frank Quinn). Zbl 0575.57005 Edwards, Robert D. 10 1984 The equivalence of close piecewise linear embeddings. Zbl 0314.57009 Edwards, Robert D. 9 1975 Characterizing infinite dimensional manifolds topologically [after Henryk Toruńczyk]. Zbl 0429.57004 Edwards, Robert D. 8 1980 Demension theory, I. Zbl 0324.57004 Edwards, Robert D. 7 1975 A method for shrinking decompositions of certain manifolds. Zbl 0244.57004 Edwards, Robert D.; Glaser, Leslie C. 4 1972 Lusin’s theorem for measure preserving homeomorphisms. Zbl 0442.28024 Alpern, Steve; Edwards, Robert D. 3 1979 Cell-like closed-0-dimensional decompositions of \(R^3\) are \(R^4\) factors. Zbl 0337.57003 Edwards, Robert D.; Miller, Richard T. 3 1976 Approximating codimension \(\geq 3\) \(\sigma\)-compacta with locally homotopically unknotted embeddings. Zbl 0604.57013 Edwards, Robert D. 3 1986 On the topological invariance of simple homotopy type for polyhedra. Zbl 0416.57007 Edwards, Robert D. 2 1978 The regulatory role of shikimate in plant phenylalanine metabolism. Zbl 1406.92371 Adams, Z. P.; Ehlting, J.; Edwards, R. 2 2019 Wild Cantor sets as approximations to codimension two manifolds. Zbl 0624.57021 Daverman, Robert J.; Edwards, R. D. 2 1987 Any spine of the cube is 2-collapsible. Zbl 0488.57007 Edwards, Robert; Gillman, David 2 1983 Ramp approximations of sigmoid control functions in gene networks. Zbl 1491.37081 Quee, G.; Edwards, R. 2 2021 A question concerning compact foliations. Zbl 0309.57010 Edwards, R. 1 1975 Regularization by external variables. Zbl 1485.34145 Bossolini, E.; Edwards, R.; Glendinning, P. A.; Jeffrey, M. R.; Webber, S. 1 2017 Zeno breaking, the contact effect and sensitive behaviour in piecewise-linear systems. Zbl 1401.92084 Edwards, R. 1 2018 Ramp approximations of sigmoid control functions in gene networks. Zbl 1491.37081 Quee, G.; Edwards, R. 2 2021 The regulatory role of shikimate in plant phenylalanine metabolism. Zbl 1406.92371 Adams, Z. P.; Ehlting, J.; Edwards, R. 2 2019 Zeno breaking, the contact effect and sensitive behaviour in piecewise-linear systems. Zbl 1401.92084 Edwards, R. 1 2018 Regularization by external variables. Zbl 1485.34145 Bossolini, E.; Edwards, R.; Glendinning, P. A.; Jeffrey, M. R.; Webber, S. 1 2017 Wild Cantor sets as approximations to codimension two manifolds. Zbl 0624.57021 Daverman, Robert J.; Edwards, R. D. 2 1987 Approximating codimension \(\geq 3\) \(\sigma\)-compacta with locally homotopically unknotted embeddings. Zbl 0604.57013 Edwards, Robert D. 3 1986 The solution of the 4-dimensional annulus conjecture (after Frank Quinn). Zbl 0575.57005 Edwards, Robert D. 10 1984 Any spine of the cube is 2-collapsible. Zbl 0488.57007 Edwards, Robert; Gillman, David 2 1983 Approximating certain cell-like maps by homeomorphisms. Zbl 0479.57008 Edwards, Robert D. 12 1980 The topology of manifolds and cell-like maps. Zbl 0428.57004 Edwards, Robert D. 11 1980 Characterizing infinite dimensional manifolds topologically [after Henryk Toruńczyk]. Zbl 0429.57004 Edwards, Robert D. 8 1980 Lusin’s theorem for measure preserving homeomorphisms. Zbl 0442.28024 Alpern, Steve; Edwards, Robert D. 3 1979 On the topological invariance of simple homotopy type for polyhedra. Zbl 0416.57007 Edwards, Robert D. 2 1978 Foliations with all leaves compact. Zbl 0356.57022 Edwards, Robert; Millett, Kenneth; Sullivan, Dennis 44 1977 Cell-like closed-0-dimensional decompositions of \(R^3\) are \(R^4\) factors. Zbl 0337.57003 Edwards, Robert D.; Miller, Richard T. 3 1976 The equivalence of close piecewise linear embeddings. Zbl 0314.57009 Edwards, Robert D. 9 1975 Demension theory, I. Zbl 0324.57004 Edwards, Robert D. 7 1975 A question concerning compact foliations. Zbl 0309.57010 Edwards, R. 1 1975 A method for shrinking decompositions of certain manifolds. Zbl 0244.57004 Edwards, Robert D.; Glaser, Leslie C. 4 1972 Deformations of spaces of imbeddings. Zbl 0214.50303 Edwards, R. D.; Kirby, R. C. 109 1971 all cited Publications top 5 cited Publications all top 5 Cited by 238 Authors 8 Rybicki, Tomasz 6 Henderson, James P. 6 Vogt, Elmar 5 Farrell, F. Thomas 5 Mann, Kathryn 5 Repovš, Dušan D. 4 Chapman, Thomas Ashland 4 Daverman, Robert J. 4 Ferry, Steven C. 4 Guilbault, Craig R. 4 Hurder, Steven E. 4 Quinn, Frank S. 4 Walsh, John J. 4 Weinberger, Shmuel 3 Bryant, John Logan 3 Gauld, David B. 3 Grines, Vyacheslav Zigmundovich 3 Hughes, Bruce 3 Jones, Lowell Edwin 3 Pedersen, Erik Kjær 3 Sullivan, Dennis Parnell 3 Weiss, Michael S. 3 Williams, Bruce 3 Wolak, Robert A. 3 Yagasaki, Tatsuhiko 2 Alpern, Steve 2 Barge Yáñez, Héctor 2 Bode, Benjamin 2 Dennis, Mark R. 2 Dijkstra, Jan J. 2 Duchamp, Thomas E. 2 Fathi, Albert 2 Fukui, Kazuhiko 2 Gurevich, Elena Ya. 2 Halverson, Denise M. 2 Heinonen, Juha 2 Hsiang, Wu-Chung 2 Hughes, C. Bruce 2 Kalka, Morris 2 Luukkainen, Jouni 2 McAuley, Louis Floyd 2 Medvedev, Vladislav Sergeevich 2 Melikhov, Sergey Aleksandrovich 2 Michalik, Ilona 2 Mogilski, Jerzy 2 Moran, Molly A. 2 Oversteegen, Lex G. 2 Rosendal, Christian 2 Rourke, Colin P. 2 Sánchez-Gabites, Jaime J. 2 Sanderson, Brian J. 2 Saralegi-Aranguren, Martintxo 2 Scardua, Bruno 2 Siebenmann, Laurence C. 2 Villarini, Massimo 2 Wu, Jang-Mei 1 Adiprasito, Karim Alexander 1 Aliste-Prieto, José 1 Amerik, Ekaterina Yu. 1 Anderson, Douglas Ross 1 Azevedo, Assis 1 Azevedo, Davide 1 Badzioch, Bernard 1 Banakh, Taras Onufrievich 1 Beliaev, Dmitri B. 1 Benedetti, Bruno 1 Berlanga, Ricardo 1 Bessa, Mário 1 Bestvina, Mladen 1 Bödi, Richard 1 Bogatyĭ, Semeon Antonovich 1 Bokor, Imre 1 Bonomo, Wescley 1 Bowden, Jonathan Peter 1 Bowers, Philip L. 1 Boyland, Philip L. 1 Brakes, W. R. 1 Brandenbursky, Michael 1 Burghelea, Dan 1 Calcut, Jack S. 1 Camacho, César 1 Campana, Frédéric 1 Cantwell, John C. 1 Cárdenas, Manuel 1 Cardim, Nancy S. 1 Cardona, Robert 1 Carrasco, Pablo D. 1 Čerin, Zvonko Tomislav 1 Chen, Lei 1 Cohen, Marshall M. 1 Colman, Hellen 1 Conlon, Lawrence 1 Cristofaro-Gardiner, Daniel 1 Crowley, Diarmuid John 1 Das, Tushar Kanti 1 Davis, Michael W. 1 de Faria, Edson 1 De Martino, Verónica 1 Dickmann, Ryan 1 Dirbák, Matúš ...and 138 more Authors all top 5 Cited in 74 Serials 33 Topology and its Applications 22 Transactions of the American Mathematical Society 10 Inventiones Mathematicae 9 Proceedings of the American Mathematical Society 9 Bulletin of the American Mathematical Society 8 Ergodic Theory and Dynamical Systems 7 Geometry & Topology 6 Compositio Mathematica 6 \(K\)-Theory 6 Algebraic & Geometric Topology 5 Manuscripta Mathematica 4 Annales de l’Institut Fourier 4 Bulletin of the American Mathematical Society. New Series 3 Geometriae Dedicata 3 Mathematische Annalen 3 Journal of Knot Theory and its Ramifications 3 Journal of Mathematical Sciences (New York) 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of the Mathematical Society of Japan 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Annals of Mathematics. Second Series 2 Qualitative Theory of Dynamical Systems 2 Proceedings of the Steklov Institute of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archivum Mathematicum 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Fundamenta Mathematicae 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Combinatorica 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Expositiones Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Opuscula Mathematica 1 Electronic Research Announcements of the American Mathematical Society 1 Sbornik: Mathematics 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical Systems and Geometric Theories 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Journal of Geometry and Symmetry in Physics 1 Journal of Topology and Analysis 1 Quantum Topology 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 27 Fields 163 Manifolds and cell complexes (57-XX) 42 Algebraic topology (55-XX) 38 General topology (54-XX) 34 Global analysis, analysis on manifolds (58-XX) 33 Dynamical systems and ergodic theory (37-XX) 20 Differential geometry (53-XX) 18 Group theory and generalizations (20-XX) 12 Topological groups, Lie groups (22-XX) 11 Several complex variables and analytic spaces (32-XX) 8 Measure and integration (28-XX) 7 Category theory; homological algebra (18-XX) 5 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 3 Algebraic geometry (14-XX) 3 \(K\)-theory (19-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.