호남수학학술지 (Honam Mathematical Journal)

  • 제31권3호
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  • Pages.267-278
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  • 2009
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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REMARK ON GENERALIZED UNIVERSAL COVERING SPACE IN DIGITAL COVERING THEORY

  • Han, Sang-Eon (Faculty of Liberal Education, Institute of Pure and Applied Mathematics, Chonbuk National University)
  • 투고 : 2009.08.02
  • 심사 : 2009.09.11
  • 발행 : 2009.09.25
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초록

As a survey-type article, the paper reviews the recent results on a (generalized) universal covering space in digital covering theory. The recent paper [19] established the generalized universal (2, k)-covering property which improves the universal (2, k)-covering property of [3]. In algebraic topology it is well-known that a simply connected and locally path connected covering space is a universal covering space. Unlike this property, in digital covering theory we can propose that a generalized universal covering space has its intrinsic feature. This property can be useful in classifying digital covering spaces and in studying a shortest k-path problem in data structure.

키워드

참고문헌

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피인용 문헌

  1. COMMUTATIVE MONOID OF THE SET OF k-ISOMORPHISM CLASSES OF SIMPLE CLOSED k-SURFACES IN Z3 vol.32, pp.1, 2010, https://doi.org/10.5831/HMJ.2010.32.1.141
  2. REMARKS ON DIGITAL PRODUCTS WITH NORMAL ADJACENCY RELATIONS vol.35, pp.3, 2013, https://doi.org/10.5831/HMJ.2013.35.3.515
  3. PROPERTIES OF A GENERALIZED UNIVERSAL COVERING SPACE OVER A DIGITAL WEDGE vol.32, pp.3, 2010, https://doi.org/10.5831/HMJ.2010.32.3.375
  4. UTILITY OF DIGITAL COVERING THEORY vol.36, pp.3, 2014, https://doi.org/10.5831/HMJ.2014.36.3.695