Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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NEIGHBORHOOD STRUCTURES IN ORDINARY SMOOTH TOPOLOGICAL SPACES

  • Lee, Jeong Gon (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Lim, Pyung Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
  • Received : 2012.09.19
  • Accepted : 2012.12.11
  • Published : 2012.12.25
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Abstract

We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.

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References

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Cited by

  1. Some Topological Structures of Ordinary Smooth Topological Spaces vol.22, pp.6, 2012, https://doi.org/10.5391/JKIIS.2012.22.6.799