호남수학학술지 (Honam Mathematical Journal)

  • 제31권3호
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  • Pages.279-292
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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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REGULAR COVERING SPACE IN DIGITAL COVERING THEORY AND ITS APPLICATIONS

  • Han, Sang-Eon (Faculty of Liberal Education, Institute of Pure and Applied Mathematics, Chonbuk National University)
  • 투고 : 2009.06.24
  • 심사 : 2009.09.07
  • 발행 : 2009.09.25
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초록

As a survey-type article, the paper reviews some results on a regular covering space in digital covering theory. The recent paper [10](see also [12]) established the notion of regular covering space in digital covering theory and studied its various properties. Besides, the papers [14, 16] developed a discrete Deck's transformation group of a digital covering. In this paper we study further their properties. By using these properties, we can classify digital covering spaces. Finally, the paper proposes an open problem.

키워드

참고문헌

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피인용 문헌

  1. REMARKS ON DIGITAL PRODUCTS WITH NORMAL ADJACENCY RELATIONS vol.35, pp.3, 2013, https://doi.org/10.5831/HMJ.2013.35.3.515
  2. 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