Groups of generalized isotopies and generalized $G$-spaces

Authors

  • P.S. Gevorgyan Moscow State Pedagogical University, Russia Author
  • S.D. Iliadis Moscow State University, Russia Author

Keywords:

Compact-open topology, group of homeomorphisms, isotopy, group of generalized isotopies, generalized $G$-space

Subjects:

54H15, 57S99

Abstract

The group of generalized isotopies of topological space is studied. A relationship of this group with the group of homeomorphisms is established in case of locally compact and locally connected space.Notions of generalized $G$-spaces and there equivariant maps are introduced. It is proved that a new category of generalized $G$-spaces is a natural extension of the category of $G$-spaces.

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Published

2018-04-15

Issue

Vol. 70 No. 2 (2018): Vol. 70, Issue 2

Section

Articles

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Copyright (c) 2018 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.