Transitivities of maps on G-spaces
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Mukta Garg
Abstract
In this paper, we define various kinds of transitivity of maps on G-spaces. We obtain conditions on G-spaces and on maps for one type of transitivity to imply another type of transitivity. Giving several examples and proving various equivalences, we provide a complete description of the relationships among the different types of transitivities defined for maps on G-spaces.
Funding statement: The first author is supported by UGC-JRF Sr. No. 2121340996 Ref. No. 22/12/2013(ii)EU-V, and the second author is supported by UGC Major Research Project F.N. 42-25/2013 (SR) for carrying out this research.
Acknowledgements
The authors are thankful to the referee for his/her valuable suggestions.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Transitivities of maps on G-spaces
- Lp-L2 estimates for solutions of the wave equation associated to the Grushin operator
- Gabor orthonormal bases generated by indicator functions of parallelepiped-shaped sets
- Riesz potentials of Radon measures associated to reflection groups
- Harmonic vector fields on a weighted Riemannian manifold arising from a Finsler structure
- An efficient method to compute the Moore–Penrose inverse
- The Thirring model in spaces of analytic functions
Articles in the same Issue
- Frontmatter
- Transitivities of maps on G-spaces
- Lp-L2 estimates for solutions of the wave equation associated to the Grushin operator
- Gabor orthonormal bases generated by indicator functions of parallelepiped-shaped sets
- Riesz potentials of Radon measures associated to reflection groups
- Harmonic vector fields on a weighted Riemannian manifold arising from a Finsler structure
- An efficient method to compute the Moore–Penrose inverse
- The Thirring model in spaces of analytic functions
