İs, Melih; Karaca, İsmet Certain topological methods for computing digital topological complexity. (English) Zbl 07680663 Korean J. Math. 31, No. 1, 1-16 (2023). MSC: 68-XX 55-XX PDFBibTeX XMLCite \textit{M. İs} and \textit{İ. Karaca}, Korean J. Math. 31, No. 1, 1--16 (2023; Zbl 07680663) Full Text: DOI arXiv
Lupton, Greg; Oprea, John; Scoville, Nicholas A. The digital Hopf construction. (English) Zbl 1514.55013 Topology Appl. 326, Article ID 108405, 19 p. (2023). Reviewer: Christopher Staecker (Fairfield) MSC: 55Q99 54A99 55R10 68R99 54H30 PDFBibTeX XMLCite \textit{G. Lupton} et al., Topology Appl. 326, Article ID 108405, 19 p. (2023; Zbl 1514.55013) Full Text: DOI arXiv
Lupton, Gregory; Scoville, Nicholas A. Digital fundamental groups and edge groups of clique complexes. (English) Zbl 1508.55009 J. Appl. Comput. Topol. 6, No. 4, 529-558 (2022). Reviewer: Christopher Staecker (Fairfield) MSC: 55Q99 57M05 68U10 PDFBibTeX XMLCite \textit{G. Lupton} and \textit{N. A. Scoville}, J. Appl. Comput. Topol. 6, No. 4, 529--558 (2022; Zbl 1508.55009) Full Text: DOI arXiv
Abdullahi, Muhammad Sirajo; Kumam, Poom; Staecker, P. Christopher Digital Lefschetz numbers and related fixed point theorems. (English) Zbl 1505.55002 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 173, 23 p. (2022). Reviewer: Sang-Eon Han (Jeonju) MSC: 55M20 55N10 54H30 68U10 PDFBibTeX XMLCite \textit{M. S. Abdullahi} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 173, 23 p. (2022; Zbl 1505.55002) Full Text: DOI
Zhou, Youjia; Saul, Nathaniel; Safarli, Ilkin; Krishnamoorthy, Bala; Wang, Bei Stitch fix for mapper and topological gains. (English) Zbl 1507.55011 Gasparovic, Ellen (ed.) et al., Research in computational topology 2. Proceedings of the second women in computational topology, WinCompTop, research collaboration workshop, Mathematical Sciences Institute, MSI, Australian National University, ANU, Canberra, Australia, July 1–5, 2019. Cham: Springer. Assoc. Women Math. Ser. 30, 265-294 (2022). MSC: 55N31 62R40 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Assoc. Women Math. Ser. 30, 265--294 (2022; Zbl 1507.55011) Full Text: DOI arXiv
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. Homotopy theory in digital topology. (English) Zbl 1481.54060 Discrete Comput. Geom. 67, No. 1, 112-165 (2022). Reviewer: Ege Özgür (Izmir) MSC: 54H30 55P99 68U10 55P05 55M25 55M30 PDFBibTeX XMLCite \textit{G. Lupton} et al., Discrete Comput. Geom. 67, No. 1, 112--165 (2022; Zbl 1481.54060) Full Text: DOI arXiv
Staecker, P. Christopher Digital homotopy relations and digital homology theories. (English) Zbl 1505.55019 Appl. Gen. Topol. 22, No. 2, 223-250 (2021). Reviewer: Dae-Woong Lee (Jeonju) MSC: 55P10 68R10 54H30 PDFBibTeX XMLCite \textit{P. C. Staecker}, Appl. Gen. Topol. 22, No. 2, 223--250 (2021; Zbl 1505.55019) Full Text: DOI arXiv
Kang, Jeong Min; Han, Sang-Eon The product property of the almost fixed point property for digital spaces. (English) Zbl 1484.54045 AIMS Math. 6, No. 7, 7215-7228 (2021). MSC: 54H25 54H30 54A10 54C05 54C08 54F65 55M20 68U03 PDFBibTeX XMLCite \textit{J. M. Kang} and \textit{S.-E. Han}, AIMS Math. 6, No. 7, 7215--7228 (2021; Zbl 1484.54045) Full Text: DOI
Mosbach, Dennis; Schladitz, Katja; Hamann, Bernd; Hagen, Hans Topologically robust B-spline reconstruction of fibers from 3D images. (English) Zbl 07483385 Hotz, Ingrid (ed.) et al., Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. Math. Vis., 271-286 (2021). MSC: 68-XX 55-08 55N31 68T09 68U03 68U05 68U10 PDFBibTeX XMLCite \textit{D. Mosbach} et al., in: Topological methods in data analysis and visualization VI. Theory, applications, and software. Selected papers based on the presentations at the 8th TopoInVis workshop, Nyköping, Sweden, June 2019. Cham: Springer. 271--286 (2021; Zbl 07483385) Full Text: DOI
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. A fundamental group for digital images. (English) Zbl 1481.55008 J. Appl. Comput. Topol. 5, No. 2, 249-311 (2021). Reviewer: Dae-Woong Lee (Jeonju) MSC: 55Q99 57M05 68U10 68R99 54H30 PDFBibTeX XMLCite \textit{G. Lupton} et al., J. Appl. Comput. Topol. 5, No. 2, 249--311 (2021; Zbl 1481.55008) Full Text: DOI arXiv
Zhang, Zhiguo; Wang, Yanying; Zhang, Conglei Strong homotopy in finite topological adjacency category. (English) Zbl 1507.55014 Topology Appl. 300, Article ID 107739, 13 p. (2021). Reviewer: Sang-Eon Han (Jeonju) MSC: 55P10 68U10 54H30 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Topology Appl. 300, Article ID 107739, 13 p. (2021; Zbl 1507.55014) Full Text: DOI
Borat, Ayse Digital homotopic distance between digital functions. (English) Zbl 1469.55002 Appl. Gen. Topol. 22, No. 1, 183-192 (2021). MSC: 55M30 68U10 PDFBibTeX XMLCite \textit{A. Borat}, Appl. Gen. Topol. 22, No. 1, 183--192 (2021; Zbl 1469.55002) Full Text: DOI
Ege, Ozgur; Karaca, Ismet Digital co-Hopf spaces. (English) Zbl 1499.55004 Filomat 34, No. 8, 2705-2711 (2020). MSC: 55Q05 54H30 68U03 68R01 PDFBibTeX XMLCite \textit{O. Ege} and \textit{I. Karaca}, Filomat 34, No. 8, 2705--2711 (2020; Zbl 1499.55004) Full Text: DOI
Vergili, Tane; Borat, Ayse Digital Lusternik-Schnirelmann category of digital functions. (English) Zbl 1488.55001 Hacet. J. Math. Stat. 49, No. 4, 1414-1422 (2020). MSC: 55M30 68U10 PDFBibTeX XMLCite \textit{T. Vergili} and \textit{A. Borat}, Hacet. J. Math. Stat. 49, No. 4, 1414--1422 (2020; Zbl 1488.55001) Full Text: DOI
Ege, Ozgur; Karaca, Ismet Persistent homology of graph-like digital images. (English) Zbl 1453.55005 Ann. Mat. Pura Appl. (4) 199, No. 6, 2167-2179 (2020). Reviewer: Christopher Staecker (Fairfield) MSC: 55N31 54H30 55M20 68R10 68U03 68U05 PDFBibTeX XMLCite \textit{O. Ege} and \textit{I. Karaca}, Ann. Mat. Pura Appl. (4) 199, No. 6, 2167--2179 (2020; Zbl 1453.55005) Full Text: DOI
İs, Melih; Karaca, İsmet The higher topological complexity in digital images. (English) Zbl 1453.55001 Appl. Gen. Topol. 21, No. 2, 305-325 (2020). Reviewer: Stephan Mescher (Lepizig) MSC: 55M30 68U05 68U10 68T40 62H35 PDFBibTeX XMLCite \textit{M. İs} and \textit{İ. Karaca}, Appl. Gen. Topol. 21, No. 2, 305--325 (2020; Zbl 1453.55001) Full Text: Link
Lee, Dae-Woong Digital H-spaces and actions in the pointed digital homotopy category. (English) Zbl 1434.68592 Appl. Algebra Eng. Commun. Comput. 31, No. 2, 149-169 (2020). MSC: 68U03 52C45 55P45 PDFBibTeX XMLCite \textit{D.-W. Lee}, Appl. Algebra Eng. Commun. Comput. 31, No. 2, 149--169 (2020; Zbl 1434.68592) Full Text: DOI
Oğuz, Gülay; Gürsoy, M. Habil; İçen, İlhan On soft topological categories. (English) Zbl 1488.18001 Hacet. J. Math. Stat. 48, No. 6, 1675-1681 (2019). MSC: 18A05 22A05 55U40 97H40 PDFBibTeX XMLCite \textit{G. Oğuz} et al., Hacet. J. Math. Stat. 48, No. 6, 1675--1681 (2019; Zbl 1488.18001) Full Text: Link
Čomić, Lidija; Magillo, Paola Repairing 3D binary images using the FCC grid. (English) Zbl 1482.68242 J. Math. Imaging Vis. 61, No. 9, 1301-1321 (2019). MSC: 68U03 55P10 68U05 68U10 PDFBibTeX XMLCite \textit{L. Čomić} and \textit{P. Magillo}, J. Math. Imaging Vis. 61, No. 9, 1301--1321 (2019; Zbl 1482.68242) Full Text: DOI
Boutry, Nicolas; Gonzalez-Diaz, Rocio; Jimenez, Maria-Jose One more step towards well-composedness of cell complexes over nD pictures. (English) Zbl 1522.68617 Couprie, Michel (ed.) et al., Discrete geometry for computer imagery. 21st IAPR international conference, DGCI 2019, Marne-la-Vallée, France, March 26–28, 2019, Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11414, 101-114 (2019). MSC: 68U03 05E45 55U10 68U10 PDFBibTeX XMLCite \textit{N. Boutry} et al., Lect. Notes Comput. Sci. 11414, 101--114 (2019; Zbl 1522.68617) Full Text: DOI Link
Borat, Ayşe; Vergili, Tane Digital Lusternik-Schnirelmann category. (English) Zbl 1424.55001 Turk. J. Math. 42, No. 4, 1845-1852 (2018). MSC: 55M30 55U10 PDFBibTeX XMLCite \textit{A. Borat} and \textit{T. Vergili}, Turk. J. Math. 42, No. 4, 1845--1852 (2018; Zbl 1424.55001) Full Text: DOI
Gupta, Vishal; Deep, Raman; Tripathi, Adesh Kumar Some common fixed point theorems in fuzzy metric spaces and their applications. (English) Zbl 1424.54086 Bol. Soc. Parana. Mat. (3) 36, No. 3, 141-153 (2018). MSC: 54H25 47H10 55M20 PDFBibTeX XMLCite \textit{V. Gupta} et al., Bol. Soc. Parana. Mat. (3) 36, No. 3, 141--153 (2018; Zbl 1424.54086) Full Text: Link
Karaca, I.; Ege, O. Digital cohomology groups of certain minimal surfaces. (English) Zbl 1413.55003 J. Linear Topol. Algebra 7, No. 4, 293-305 (2018). MSC: 55N99 68R99 68U05 68U10 PDFBibTeX XMLCite \textit{I. Karaca} and \textit{O. Ege}, J. Linear Topol. Algebra 7, No. 4, 293--305 (2018; Zbl 1413.55003) Full Text: Link
Breiding, Paul; Kališnik, Sara; Sturmfels, Bernd; Weinstein, Madeleine Learning algebraic varieties from samples. (English) Zbl 1481.13040 Rev. Mat. Complut. 31, No. 3, 545-593 (2018). Reviewer: Michael R. DiPasquale (Stillwater) MSC: 13P25 14P25 62J02 55N31 62R40 PDFBibTeX XMLCite \textit{P. Breiding} et al., Rev. Mat. Complut. 31, No. 3, 545--593 (2018; Zbl 1481.13040) Full Text: DOI arXiv
Han, Sang-Eon Homotopic properties of an MA-digitization of 2D Euclidean spaces. (English) Zbl 1391.68110 J. Comput. Syst. Sci. 95, 165-176 (2018). MSC: 68U05 55P10 55U10 PDFBibTeX XMLCite \textit{S.-E. Han}, J. Comput. Syst. Sci. 95, 165--176 (2018; Zbl 1391.68110) Full Text: DOI
Han, Sang-Eon Compatible adjacency relations for digital products. (English) Zbl 1488.54193 Filomat 31, No. 9, 2787-2803 (2017). MSC: 54H30 55P15 68U05 PDFBibTeX XMLCite \textit{S.-E. Han}, Filomat 31, No. 9, 2787--2803 (2017; Zbl 1488.54193) Full Text: DOI
Lee, Dae-Woong On the digitally quasi comultiplications of digital images. (English) Zbl 1488.68124 Filomat 31, No. 7, 1875-1892 (2017). MSC: 68U03 52C45 55Q15 55Q20 68U10 PDFBibTeX XMLCite \textit{D.-W. Lee}, Filomat 31, No. 7, 1875--1892 (2017; Zbl 1488.68124) Full Text: DOI
Han, Sang-Eon Fixed point property for digital spaces. (English) Zbl 1412.55007 J. Nonlinear Sci. Appl. 10, No. 5, 2510-2523 (2017). MSC: 55N35 55M20 68R10 68U05 PDFBibTeX XMLCite \textit{S.-E. Han}, J. Nonlinear Sci. Appl. 10, No. 5, 2510--2523 (2017; Zbl 1412.55007) Full Text: DOI
Ege, Ozgur; Karaca, Ismet Digital fibrations. (English) Zbl 1396.55004 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 87, No. 1, 109-114 (2017). MSC: 55N35 55R10 55R65 68U10 PDFBibTeX XMLCite \textit{O. Ege} and \textit{I. Karaca}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 87, No. 1, 109--114 (2017; Zbl 1396.55004) Full Text: DOI
Kang, Jeong Min; Han, Sang-Eon; Min, Kyung Chan Digitizations associated with several types of digital topological approaches. (English) Zbl 1361.54002 Comput. Appl. Math. 36, No. 1, 571-597 (2017). Reviewer: Wei Yao (Shijiazhuang) MSC: 54A10 54C05 54F65 55R15 68U05 68U10 PDFBibTeX XMLCite \textit{J. M. Kang} et al., Comput. Appl. Math. 36, No. 1, 571--597 (2017; Zbl 1361.54002) Full Text: DOI
Han, Sang-Eon A digitization method of subspaces of the Euclidean \(n\)D space associated with the Khalimsky adjacency structure. (English) Zbl 1379.54013 Comput. Appl. Math. 36, No. 1, 127-144 (2017). MSC: 54C10 54C05 54C08 55P10 55P15 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han}, Comput. Appl. Math. 36, No. 1, 127--144 (2017; Zbl 1379.54013) Full Text: DOI
Kang, Jeang Min; Han, Sang-Eon Digital homology groups of digital wedge sums. (English) Zbl 1384.55004 Honam Math. J. 38, No. 4, 819-831 (2016). MSC: 55N35 68U10 PDFBibTeX XMLCite \textit{J. M. Kang} and \textit{S.-E. Han}, Honam Math. J. 38, No. 4, 819--831 (2016; Zbl 1384.55004) Full Text: DOI
Han, S.-E. Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\). (English) Zbl 1377.68280 Ukr. Math. J. 67, No. 8, 1264-1276 (2016) and Ukr. Mat. Zh. 67, No. 8, 1122-1133 (2015). MSC: 68U05 54B30 54C08 54F65 55P10 55U40 68U10 PDFBibTeX XMLCite \textit{S. E. Han}, Ukr. Math. J. 67, No. 8, 1264--1276 (2016; Zbl 1377.68280) Full Text: DOI
Han, Sang-Eon; Lee, Sik Some properties of lattice-based \(K\)- and \(M\)-maps. (English) Zbl 1358.54010 Honam Math. J. 38, No. 3, 625-642 (2016). MSC: 54A10 54C05 55R15 54C08 54F65 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han} and \textit{S. Lee}, Honam Math. J. 38, No. 3, 625--642 (2016; Zbl 1358.54010) Full Text: DOI
Boxer, Laurence; Staecker, P. Christopher Fundamental groups and Euler characteristics of sphere-like digital images. (English) Zbl 1388.68282 Appl. Gen. Topol. 17, No. 2, 139-158 (2016). MSC: 68U05 55Q40 68U10 PDFBibTeX XMLCite \textit{L. Boxer} and \textit{P. C. Staecker}, Appl. Gen. Topol. 17, No. 2, 139--158 (2016; Zbl 1388.68282) Full Text: DOI arXiv
Han, Sang-Eon Contractibility and fixed point property: the case of Khalimsky topological spaces. (English) Zbl 1350.55007 Fixed Point Theory Appl. 2016, Paper No. 75, 20 p. (2016). Reviewer: Ioan A. Rus (Cluj-Napoca) MSC: 55N35 68U10 PDFBibTeX XMLCite \textit{S.-E. Han}, Fixed Point Theory Appl. 2016, Paper No. 75, 20 p. (2016; Zbl 1350.55007) Full Text: DOI
Ege, Ozgur; Karaca, Ismet Digital homotopy fixed point theory. (Théorie du point fixe pour les homotopies digitales.) (English. French summary) Zbl 06548156 C. R., Math., Acad. Sci. Paris 353, No. 11, 1029-1033 (2015). MSC: 68U05 54H25 55M20 PDFBibTeX XMLCite \textit{O. Ege} and \textit{I. Karaca}, C. R., Math., Acad. Sci. Paris 353, No. 11, 1029--1033 (2015; Zbl 06548156) Full Text: DOI
Han, Sang-Eon Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces. (English) Zbl 1237.55004 Topology Appl. 159, No. 7, 1705-1714 (2012). MSC: 55P10 55P15 54A10 65D18 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han}, Topology Appl. 159, No. 7, 1705--1714 (2012; Zbl 1237.55004) Full Text: DOI
Boxer, Laurence; Karaca, Ismet Some properties of digital covering spaces. (English) Zbl 1392.55014 J. Math. Imaging Vis. 37, No. 1, 17-26 (2010). MSC: 55Q70 94A08 68U10 57M10 PDFBibTeX XMLCite \textit{L. Boxer} and \textit{I. Karaca}, J. Math. Imaging Vis. 37, No. 1, 17--26 (2010; Zbl 1392.55014) Full Text: DOI
Han, Sang-Eon Existence problem of a generalized universal covering space. (English) Zbl 1198.57001 Acta Appl. Math. 109, No. 3, 805-827 (2010). MSC: 57M10 55Q70 52C07 57S30 55R15 PDFBibTeX XMLCite \textit{S.-E. Han}, Acta Appl. Math. 109, No. 3, 805--827 (2010; Zbl 1198.57001) Full Text: DOI
Han, Sang-Eon Multiplicative property of the digital fundamental group. (English) Zbl 1200.68261 Acta Appl. Math. 110, No. 2, 921-944 (2010). MSC: 68U05 55Q52 55Q70 57M10 PDFBibTeX XMLCite \textit{S.-E. Han}, Acta Appl. Math. 110, No. 2, 921--944 (2010; Zbl 1200.68261) Full Text: DOI
Han, Sang-Eon Cartesian product of the universal covering property. (English) Zbl 1202.55008 Acta Appl. Math. 108, No. 2, 363-383 (2009). MSC: 55Q70 52Cxx 55P15 68R10 68U05 52C07 57S30 55R15 PDFBibTeX XMLCite \textit{S.-E. Han}, Acta Appl. Math. 108, No. 2, 363--383 (2009; Zbl 1202.55008) Full Text: DOI
Giuli, Eraldo; Hofmann, Dirk Affine sets: the structure of complete objects and duality. (English) Zbl 1171.54011 Topology Appl. 156, No. 12, 2129-2136 (2009). Reviewer: Dieter Leseberg (Braunschweig) MSC: 54B30 54D35 18A30 06D50 55M05 PDFBibTeX XMLCite \textit{E. Giuli} and \textit{D. Hofmann}, Topology Appl. 156, No. 12, 2129--2136 (2009; Zbl 1171.54011) Full Text: DOI
Han, Sang-Eon Map preserving local properties of a digital image. (English) Zbl 1167.68056 Acta Appl. Math. 104, No. 2, 177-190 (2008). MSC: 68U05 52C99 55P10 55P15 PDFBibTeX XMLCite \textit{S.-E. Han}, Acta Appl. Math. 104, No. 2, 177--190 (2008; Zbl 1167.68056) Full Text: DOI
Han, Sang-Eon Comparison among digital fundamental groups and its applications. (English) Zbl 1141.55008 Inf. Sci. 178, No. 8, 2091-2104 (2008). Reviewer: Philippe Gaucher (Paris) MSC: 55Q70 52C99 55P10 68U05 PDFBibTeX XMLCite \textit{S.-E. Han}, Inf. Sci. 178, No. 8, 2091--2104 (2008; Zbl 1141.55008) Full Text: DOI
Boxer, Laurence Digital products, wedges, and covering spaces. (English) Zbl 1478.94013 J. Math. Imaging Vis. 25, No. 2, 159-171 (2006). MSC: 94A08 68U10 55Q99 PDFBibTeX XMLCite \textit{L. Boxer}, J. Math. Imaging Vis. 25, No. 2, 159--171 (2006; Zbl 1478.94013) Full Text: DOI
Pavel, Monique “Shape theory” and Pattern Recognition. (English) Zbl 0515.68065 Pattern Recognition 16, 349-356 (1983). MSC: 68T10 54C56 55P55 PDFBibTeX XMLCite \textit{M. Pavel}, Pattern Recognition 16, 349--356 (1983; Zbl 0515.68065) Full Text: DOI