MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Exploring stronger forms of transitivity on $G$-spaces
M. Garg, R. Das

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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Keywords: Topological transitivity; topological mixing; $G$-space; pseudoequivariant map.

MSC: 54H20, 37B05

Pages:  164--175     

Volume  69 ,  Issue  3 ,  2017