Zhang, Zhiguo; Wang, Yanying; Zhang, Conglei Strong homotopy induced by adjacency structure. (English) Zbl 1507.55015 Discrete Math. 346, No. 1, Article ID 113130, 11 p. (2023). Reviewer: Sang-Eon Han (Jeonju) MSC: 55P10 05C99 68U05 54H30 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Discrete Math. 346, No. 1, Article ID 113130, 11 p. (2023; Zbl 1507.55015) Full Text: DOI
Santhosh, P. K. On a stronger notion of connectedness in c-spaces. (English) Zbl 07710083 Algebra Discrete Math. 34, No. 2, 317-325 (2022). MSC: 54D05 05C40 54A05 54H30 PDFBibTeX XMLCite \textit{P. K. Santhosh}, Algebra Discrete Math. 34, No. 2, 317--325 (2022; Zbl 07710083) Full Text: Link
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
Han, Sang-Eon The fixed point property of the infinite K-sphere in the set \(\text{Con}^\bigstar((\mathbb{Z}^2)^*)\). (English) Zbl 1499.54217 Filomat 34, No. 12, 4027-4042 (2020). MSC: 54H30 54H25 PDFBibTeX XMLCite \textit{S.-E. Han}, Filomat 34, No. 12, 4027--4042 (2020; Zbl 1499.54217) Full Text: DOI
Šlapal, Josef A closure operator for the digital plane. (English) Zbl 1499.54219 Filomat 34, No. 10, 3229-3237 (2020). MSC: 54H30 54A05 54D05 68U03 PDFBibTeX XMLCite \textit{J. Šlapal}, Filomat 34, No. 10, 3229--3237 (2020; Zbl 1499.54219) Full Text: DOI
Han, Sang-Eon Homotopic properties of \(KA\)-digitizations of \(n\)-dimensional Euclidean spaces. (English) Zbl 1488.54194 Hacet. J. Math. Stat. 49, No. 1, 236-253 (2020). MSC: 54H30 55P99 54A10 54C05 55R15 54C08 54F65 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han}, Hacet. J. Math. Stat. 49, No. 1, 236--253 (2020; Zbl 1488.54194) Full Text: DOI
Sruthi, A. K.; Ramachandran, P. T. On \(c\)-spaces and hypergraphs. (English) Zbl 1423.05117 Far East J. Math. Sci. (FJMS) 110, No. 1, 83-92 (2019). MSC: 05C65 54A05 05C40 68U10 PDFBibTeX XMLCite \textit{A. K. Sruthi} and \textit{P. T. Ramachandran}, Far East J. Math. Sci. (FJMS) 110, No. 1, 83--92 (2019; Zbl 1423.05117) Full Text: DOI
Han, Sang-Eon Topological graphs based on a new topology on \(\mathbf Z^n\) and its applications. (English) Zbl 1499.54216 Filomat 31, No. 20, 6313-6328 (2017). MSC: 54H30 54A10 54C05 54C08 54F65 68U03 68U10 PDFBibTeX XMLCite \textit{S.-E. Han}, Filomat 31, No. 20, 6313--6328 (2017; Zbl 1499.54216) Full Text: DOI
Santhosh, P. K. On the quotients of c-spaces. (English) Zbl 1424.54015 Bol. Soc. Parana. Mat. (3) 35, No. 1, 97-109 (2017). MSC: 54A05 05C40 PDFBibTeX XMLCite \textit{P. K. Santhosh}, Bol. Soc. Parana. Mat. (3) 35, No. 1, 97--109 (2017; Zbl 1424.54015) Full Text: Link
Han, Sang-Eon The fixed point property of an \(M\)-retract and its applications. (English) Zbl 1376.54037 Topology Appl. 230, 139-153 (2017). Reviewer: Zoran Kadelburg (Beograd) MSC: 54H25 54C05 54C10 54C15 PDFBibTeX XMLCite \textit{S.-E. Han}, Topology Appl. 230, 139--153 (2017; Zbl 1376.54037) 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; Yao, Wei Homotopy based on Marcus-Wyse topology and its applications. (English) Zbl 1352.54003 Topology Appl. 201, 358-371 (2016). MSC: 54A10 54C05 54C08 54F65 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han} and \textit{W. Yao}, Topology Appl. 201, 358--371 (2016; Zbl 1352.54003) Full Text: DOI
Han, Sang-Eon Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications. (English) Zbl 1353.54004 Topology Appl. 196, Part B, 468-482 (2015). MSC: 54A10 54C05 54C08 54F65 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han}, Topology Appl. 196, Part B, 468--482 (2015; Zbl 1353.54004) Full Text: DOI
Naor, Assaf; Sheffield, Scott Absolutely minimal Lipschitz extension of tree-valued mappings. (English) Zbl 1276.46062 Math. Ann. 354, No. 3, 1049-1078 (2012). Reviewer: Victor Milman (Minsk) MSC: 46T20 30L99 26A16 54C20 91A05 91A15 PDFBibTeX XMLCite \textit{A. Naor} and \textit{S. Sheffield}, Math. Ann. 354, No. 3, 1049--1078 (2012; Zbl 1276.46062) Full Text: DOI arXiv
Allam, A. A.; Bakeir, M. Y.; Abo-Tabl, E. A. Product space and the digital plane via relations. (English) Zbl 1198.54031 Chaos Solitons Fractals 41, No. 2, 764-771 (2009). MSC: 54A99 PDFBibTeX XMLCite \textit{A. A. Allam} et al., Chaos Solitons Fractals 41, No. 2, 764--771 (2009; Zbl 1198.54031) Full Text: DOI
Šlapal, Josef A quotient-universal digital topology. (English) Zbl 1155.54015 Theor. Comput. Sci. 405, No. 1-2, 164-175 (2008). Reviewer: Richard G. Wilson (México) MSC: 54D05 68R99 68U10 PDFBibTeX XMLCite \textit{J. Šlapal}, Theor. Comput. Sci. 405, No. 1--2, 164--175 (2008; Zbl 1155.54015) Full Text: DOI
Melin, Erik Digital surfaces and boundaries in Khalimsky spaces. (English) Zbl 1523.68133 J. Math. Imaging Vis. 28, No. 2, 169-177 (2007). MSC: 68U05 54H30 PDFBibTeX XMLCite \textit{E. Melin}, J. Math. Imaging Vis. 28, No. 2, 169--177 (2007; Zbl 1523.68133) Full Text: DOI
Kovalevsky, Vladimir Axiomatic digital topology. (English) Zbl 1478.94055 J. Math. Imaging Vis. 26, No. 1-2, 41-58 (2006). MSC: 94A08 68U10 54A99 PDFBibTeX XMLCite \textit{V. Kovalevsky}, J. Math. Imaging Vis. 26, No. 1--2, 41--58 (2006; Zbl 1478.94055) Full Text: DOI arXiv
Šlapal, Josef Digital Jordan curves. (English) Zbl 1111.54021 Topology Appl. 153, No. 17, 3255-3264 (2006). Reviewer: Richard G. Wilson (México) MSC: 54D05 54D10 05C38 PDFBibTeX XMLCite \textit{J. Šlapal}, Topology Appl. 153, No. 17, 3255--3264 (2006; Zbl 1111.54021) Full Text: DOI
Bretto, Alain; Faisant, Alain; Vallée, Thierry Compatible topologies on graphs: an application to graph isomorphism problem complexity. (English) Zbl 1101.68065 Theor. Comput. Sci. 362, No. 1-3, 255-272 (2006). MSC: 68R10 05C10 05C60 54A99 68Q25 68U05 68U10 PDFBibTeX XMLCite \textit{A. Bretto} et al., Theor. Comput. Sci. 362, No. 1--3, 255--272 (2006; Zbl 1101.68065) Full Text: DOI