On Topological $\widetilde{g}_{\alpha}$-Quotient Mappings

2010 ◽  
Vol 1 (1) ◽  
pp. 9
Author(s):  
M. Lellis Thivagar ◽  
Nirmala Rebecca Paul
Keyword(s):  
Quotient Mappings

scholarly journals Homeomorphism and Quotient Mappings in Infrasoft Topological Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Tareq M. Al-shami
Keyword(s):  
Topological Spaces ◽  
Soft Topology ◽  
Quotient Mappings

In this paper, we contribute to infrasoft topology which is one of the recent generalizations of soft topology. Firstly, we redefine the concept of soft mappings to be convenient for studying the topological concepts and notions in different soft structures. Then, we introduce the concepts of open, closed, and homeomorphism mappings in the content of infrasoft topology. We establish main properties and investigate the transmission of these concepts between infrasoft topology and its parametric infratopologies. Finally, we define a quotient infrasoft topology and infrasoft quotient mappings and study their main properties with the aid of illustrative examples.

scholarly journals Nano Quotient Mappings

2017 ◽  
Vol 29 (2) ◽  
pp. 58-65
Author(s):  
M. LELLIS THIVAGAR ◽  
◽  
V. SUTHA DEVI ◽  
Keyword(s):  
Quotient Mappings

On Topological #RG-Quotient Mappings

2013 ◽  
Vol 3 (3) ◽  
pp. 71
Author(s):  
S. Syed Ali Fathima ◽  
M. Mariasingam
Keyword(s):  
Quotient Mappings

scholarly journals Semi-quotient mappings and spaces

2016 ◽  
Vol 14 (1) ◽  
pp. 1014-1022 ◽  
Author(s):  
Moiz ud Din Khan ◽  
Rafaqat Noreen ◽  
Muhammad Siddique Bosan
Keyword(s):  
Quotient Space ◽  
Topological Groups ◽  
Quotient Spaces ◽  
Continuous Mappings ◽  
Quotient Mappings

AbstractIn this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.

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