Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOME PROPERTIES ON SPACES WITH NONCOMPACT GROUP ACTION

  • Published : 1997.07.01
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Abstract

The compact transformation group has been developed with lots of properties. Many properties which are satisfied on G-space for compact group G do not hold for noncompact case. To recover some theory on spaces with noncompact group action we give some restriction on G-spaces. Hence we introduced Cartan G-spaces and proper G-spaces for our goal and we prove some properties on these G-spaces with noncompact G.

Keywords

References

  1. Introduction to Compact Transformation Groups Glen E. Bredon
  2. Lecture Notes in Mathematics Transformation Groups and Representation Theory Tammo tom Dieck
  3. Lectures on Algebraic Topology A. Dold
  4. Topology James Dugundji
  5. Dimension Theory W. Hurewicz;H. Wallman
  6. Annals of Math. v.73 On the existence of slices for actions of non-compact Lie groups Richard S. Palais
  7. Mem. Amer. Math. Soc. The Classification of G-spaces Richard S. Palais