JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (6): 65-69.doi: 10.6040/j.issn.1671-9352.0.2015.536

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Neighborhood systems

LU Tao1, HE Wei2*   

  1. 1. School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, Anhui, China;
    2. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210097, Jiangsu, China
  • Received:2015-11-09 Online:2016-06-20 Published:2016-06-15

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Abstract: The concept of neighborhood systems which is common generalizations of topological spaces, locales and topological systems is introduced. And it is proved that the topological space category Top, the topological neighborhood systems category TopN, the localic neighborhood systems category NSL and the topological systems category TopS can be embedded as full subcategories of the category NS of neighborhood systems.

Key words: topological space, neighborhood system, topological system, locale

CLC Number: 

  • O189.11
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