Partially topological group action

Authors

  • M. A. Al Shumrani King Abdulaziz University

DOI:

https://doi.org/10.4995/agt.2018.7012

Keywords:

partially topological space, partially topological group, group action

Abstract

The concept of partially topological group was recently introduced in [3]. In this article, we define partially topological group action on partially topological space and we generalize some fundamental results from topological group action theory.

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Author Biography

M. A. Al Shumrani, King Abdulaziz University

Department of Mathematics

References

A. Arhangel'skii and M. Tkachenko, Topological groups and related structures, World Scientific, 2008. https://doi.org/10.2991/978-94-91216-35-0

H. Delfs and M. Knebusch, Locally semialgebraic spaces, Lecture Notes in Math. 1173, Springer, Berlin-Heidelberg, 1985.

C. Ozel, A. Piekosz, M. A. Al Shumrani and E. Wajch, Partially paratopological groups, Topology Appl. 228 (2017), 68-78. https://doi.org/10.1016/j.topol.2017.05.006

A. Piekosz, On generalized topological spaces I, Ann. Polon. Math. 107, no. 3 (2013), 217-241. https://doi.org/10.4064/ap107-3-1

A. Piekosz, On generalized topological spaces II, Ann. Polon. Math. 108, no. 2 (2013), 185-214. https://doi.org/10.4064/ap108-2-4

A. Piekosz, O-minimal homotopy and generalized (co)homology, Rocky Mountain J. Math. 43, no. 2 (2013), 573-617. https://doi.org/10.1216/RMJ-2013-43-2-573

A. Piekosz and E. Wajch, Compactness and compactifications in generalized topology, Topology Appl. 194 (2015), 241-268. https://doi.org/10.1016/j.topol.2015.08.011

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Published

2018-04-02

How to Cite

[1]
M. A. Al Shumrani, “Partially topological group action”, Appl. Gen. Topol., vol. 19, no. 1, pp. 1–7, Apr. 2018.

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Section

Articles