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Jordan surface theorem for simple closed SST-surfaces 원문보기

Topology and its applications, v.272, 2020년, pp.106953 -   

Han, Sang-Eon

Abstract AI-Helper 아이콘AI-Helper

Abstract The present paper proposes a new type of Jordan surface theorem for simple closed SST-surfaces. To do this work, we use space set topological (referred to as SST-, for short) structures on compact or non-compact surfaces in R n . Indeed, the SST-structure is a special kind of Alexan...

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참고문헌 (58)

  1. Mat. Sb. Alexandorff 2 501 1937 Diskrete Räume 

  2. Pattern Recognit. Lett. Bertrand 15 1003 1994 10.1016/0167-8655(94)90032-9 Simple points, topological numbers and geodesic neighborhoods in cubic grids 

  3. J. Math. Imaging Vis. Bertrand 20 207 1999 10.1023/A:1008348318797 Some topological properties of discrete surfaces 

  4. Couprie vol. 3454 40 1998 Simplicity surfaces: a new definition of surfaces in Z3 

  5. Courant 1941 What Is Mathematics? 

  6. Discrete Appl. Math. Daragon 147 2-3 227 2005 10.1016/j.dam.2004.09.013 Derived neighborhoods and frontier orders 

  7. Discrete Appl. Math. Evako 181 289 2015 10.1016/j.dam.2014.08.023 Classification of digital n-manifold 

  8. Grunbaum 1987 Tilings and Patterns 

  9. J. Math. Imaging Vis. Evako 6 2-3 109 1996 10.1007/BF00119834 Dimensional properties of graphs and digital spaces 

  10. Inf. Sci. Han 176 3 332 2006 10.1016/j.ins.2004.11.003 Connected sum of digital closed surfaces 

  11. Inf. Sci. Han 176 1 120 2006 10.1016/j.ins.2005.01.002 Minimal simple closed 18-surfaces and a topological preservation of 3D surfaces 

  12. Inf. Sci. Han 177 16 3314 2006 10.1016/j.ins.2006.12.013 Digital fundamental group and Euler characteristic of a connected sum of digital closed surfaces 

  13. J. Korean Math. Soc. Han 44 6 1479 2007 10.4134/JKMS.2007.44.6.1479 Strong k-deformation retract and its applications 

  14. J. Math. Imaging Vis. Han 31 1 1 2008 10.1007/s10851-007-0061-2 The k-homotopic thinning and a torus-like digital image in Zn 

  15. Int. J. Comput. Math. Han 88 14 2889 2011 10.1080/00207160.2011.577892 Continuity of maps between axiomatic locally finite spaces and its applications 

  16. Filomat Han 30 9 2475 2016 10.2298/FIL1609475H Properties of space set topological spaces 

  17. Comput. Appl. Math. Han 36 127 2017 10.1007/s40314-015-0223-6 A digitization method of subspaces of the Euclidean nD space associated with the Khalimsky adjacency structure 

  18. Hacet. J. Math. Stat. Han 46 1 124 2017 U(k)- and L(k)-homotopic properties of digitizations of nD Hausdorff spaces 

  19. Inf. Sci. Han 480 420 2019 10.1016/j.ins.2018.12.049 Covering rough set structures for a locally finite covering approximation space 

  20. Int. J. Approx. Reason. Han 106 214 2019 10.1016/j.ijar.2019.01.003 Marcus-Wyse topological rough sets and their applications 

  21. Filomat Han 33 7 2019 10.2298/FIL1907889H Low level separation axioms from the viewpoint of computational topology 

  22. Mathematics Han 7 10 954 2019 10.3390/math7100954 Remarks on the preservation of the almost fixed point property involving several types of digitizations 

  23. Int. J. Approx. Reason. Han 105 368 2019 10.1016/j.ijar.2018.12.003 Roughness measures of locally finite covering rough sets 

  24. Mathematics Han 7 11(1072) 2019 Topologies on Zn which are not homeomorphic to the n-dimensional Khalimsky topological space 

  25. Far East J. Math. Sci. Han 102 11 2861 2017 An equivalence between the dimension and the height for a locally finite topological space 

  26. Comput. Appl. Math. Han 32 521 2013 10.1007/s40314-013-0034-6 A compression of digital images derived from a Khalimsky topological structure 

  27. Herman vol. 55 381 1993 Oriented surfaces in digital spaces 

  28. Cours d'Analyse de l'Ecole Polytechnique Jordan 3 587 1887 Courbes continues 

  29. Comput. Appl. Math. Kang 36 571 2017 10.1007/s40314-015-0245-0 Digitizations associated with several types of digital topological approaches 

  30. Mathematics Kang 7 10 879 2019 10.3390/math7100879 The fixed point property of non-retractable topological spaces 

  31. Pattern Recognit. Kenmochi 30 1719 1997 10.1016/S0031-3203(97)00001-0 Discrete combinatorial geometry 

  32. Khalimsky 1970 Conference of Math. Department of Provoia Applications of connected ordered topological spaces in topology 

  33. Kong vol. 123 153.164 1990 General Topology and Applications Polyhedral analogs of locally finite topological spaces 

  34. Kong 1996 Topological Algorithms for the Digital Image Processing 

  35. Discrete Comput. Geom. Kopperman 6 2 155 1991 10.1007/BF02574681 A Jordan surface theorem for three-dimensional digital spaces 

  36. Comput. Vis. Graph. Image Process. Kovalevsky 46 141 1989 10.1016/0734-189X(89)90165-5 Finite topology as applied to image analysis 

  37. J. Math. Imaging Vis. Kovalevsky 26 41 2006 10.1007/s10851-006-7453-6 Axiomatic digital topology 

  38. Listing vol. 10 97 1862 Der Census raumlicher Complexe 

  39. Theor. Comput. Sci. Malgouyres 186 1 1977 10.1016/S0304-3975(96)00213-7 A definition of surfaces of Z3, a new 3D discrete Jordan theorem 

  40. Int. J. Pattern Recognit. Artif. Intell. Malgouyres 15 7 1075 2001 10.1142/S0218001401001325 Computing the fundamental group in digital spaces 

  41. Pattern Recognit. Lett. Malgouyres 20 417 1999 10.1016/S0167-8655(99)00010-0 A new local property of strong n-surfaces 

  42. Graph. Models Malgouyres 62 71 2000 10.1006/gmod.1999.0517 Topology preservation within digital surfaces 

  43. J.P. May, Finite topological spaces, Lecture Note, University of Chicago, 2010 1-15. 

  44. Massey 1977 Algebraic Topology 

  45. J. Math. Imaging Vis. Melin 33 267 2009 10.1007/s10851-008-0114-1 Digital Khalimsky manifolds 

  46. Munkres 2000 Topology 

  47. Inf. Control Morgenthaler 51 227 1981 10.1016/S0019-9958(81)90290-4 Surfaces in three dimensional digital images 

  48. Discrete Comput. Geom. Perles 42 277 2009 10.1007/s00454-009-9192-0 A Jordan-Brouwer separation theorem for polyhedral pseudomanifolds 

  49. Reidemeister 1938 Topologie der Polyeder und kombinatorische Topologie der Komplexe 

  50. Seifert 1980 A Textbook of Topology 

  51. Senechal 1995 Quasicrystals and Geometry 

  52. Topol. Appl. Slapal 153 3255 2006 10.1016/j.topol.2005.10.011 Digital Jordan curves 

  53. Spanier 1966 Algebraic Topology 

  54. Beitr. Anal. Steinitz 7 29 1908 Sitzungsbericht Berliner Mathematischen Gesellschaft 

  55. Ann. Math. Tucker 34 191 1933 10.2307/1968201 An abstract approach to manifolds 

  56. Webster vol. 2243 272 2001 Cell complexes and digital convexity 

  57. Discrete Appl. Math. Wiederhold 157 3424 2009 10.1016/j.dam.2009.04.016 Thinning on cell complexes from polygonal tilings 

  58. Discrete Comput. Geom. Wiederhold 27 273 2002 10.1007/s00454-001-0065-4 The Alexandroff dimension of digital quotients of Euclidean spaces 

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