Exploring stronger forms of transitivity on $G$-spaces

Authors

  • M. Garg Department of Mathematics, University of Delhi, Delhi-110007, India Author
  • R. Das Department of Mathematics, University of Delhi, Delhi-110007, India Author

Keywords:

Topological transitivity, topological mixing, $G$-space, pseudoequivariant map

Subjects:

54H20, 37B05

Abstract

In this paper we introduce and study some stronger forms of transitivity like total transitivity, weakly mixing for maps on $G$-spaces.We obtain their relationship with the earlier defined notion of strongly mixing for maps on $G$-spaces. We also study in detail $G$-minimal maps on $G$-spaces.

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Published

2017-07-15