A note on the metrizability of spaces

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• 作者：Ittay Weiss (1)
  
  1. School of Computing ; Information ; and Mathematical Sciences ; University of the South Pacific ; Suva ; Fiji
  
• 关键词：Primary ; 54A05 ; Secondary ; 54E35 ; 06F07 ; metrizability ; quantale ; value quantale ; quantale valued metric space ; continuity space
• 刊名：Algebra Universalis
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：73
• 期：2
• 页码：179-182
• 全文大小：198 KB
• 参考文献：1. Engelking, R.: General Topology, Sigma Series in Pure Mathematics, vol. 6, second edn. Heldermann, Berlin (1989)
  2. Flagg, R.C. (1997) Quantales and continuity spaces. Algebra Universalis 37: pp. 257-276 CrossRef
  3. Mulvey, C.J.: &. Second topology conference (Taormina, 1984). Rend. Circ. Mat. Palermo (2) Suppl., No. 12, 99鈥?04 (1986)
  4. Paseka, J., Rosick媒, J.: Quantales. In: Current research in operational quantum logic, Fund. Theories Phys., vol. 111, pp. 245鈥?62. Kluwer, Dordrecht (2000)
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Algebra
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8911

文摘

We consider the problem of metrizability and we propose two (in some sense dual) interpretations of it. One interpretation leads to considering the category of metrizable spaces. This is the classical approach with numerous well-known results. The second interpretation leads to considering an extension of the category of metric spaces. This is achieved in the more recent work of Flagg.