Mathematics and Statistics Vol. 7(2), pp. 45 - 49
DOI: 10.13189/ms.2019.070203
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Some Properties of a Connected Topological Group

Beshimov R. B. ^*, Zhuraev R. M.
National University of Uzbekistan named after Mirzo Ulugbek, Uzbekistan

ABSTRACT

In this paper, we study some topological properties of connected topological groups. From a logical point of view, the concept of a topological group arises as a simple combination of the concepts of a group and a topological space. In the same set G, operations multiplication and topological closure are specified simultaneously.

KEYWORDS
Subgroup, Coset, Dense Set, Connectedness, Hereditary Disconnected, Extremally Disconnected, Locally Connected

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Beshimov R. B. , Zhuraev R. M. , "Some Properties of a Connected Topological Group," Mathematics and Statistics, Vol. 7, No. 2, pp. 45 - 49, 2019. DOI: 10.13189/ms.2019.070203.

(b). APA Format:
Beshimov R. B. , Zhuraev R. M. (2019). Some Properties of a Connected Topological Group. Mathematics and Statistics, 7(2), 45 - 49. DOI: 10.13189/ms.2019.070203.