MATEMATIČKI VESNIK, Vol. 69, No. 3, pp. 164

MATEMATIČKI VESNIK
Vol. 69, No. 3, pp. 164–175 (2017)

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Exploring stronger forms of transitivity on $G$ -spaces

M. Garg and R. Das

M.G: Department of Mathematics, University of Delhi, Delhi-110007, India E-mail: mgarg@maths.du.ac.in and R.D: Department of Mathematics, University of Delhi, Delhi-110007, India E-mail: mukta.garg2003@gmail.com

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.

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

Classification (MSC2000): 54H20; 37B05

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Electronic fulltext finalized on: 20 Jun 2017. This page was last modified: 7 Jul 2017.

© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

Exploring stronger forms of transitivity on G-spaces

M. Garg and R. Das

Exploring stronger forms of transitivity on $G$ -spaces