Two Forms of Pairwise Lindelöfness and Some Results Related to Hereditary Class in a Bigeneralized Topological Space

Santanu Acharjee, Binod Chandra Tripathy () and Kyriakos Papadopoulos ()
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Santanu Acharjee: Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat 785621, Assam, India
Binod Chandra Tripathy: #x2020;Department of Mathematics, Tripura University, Suryamaninagar, Agartala 799022, Tripura, India
Kyriakos Papadopoulos: #x2021;Department of Mathematics, Kuwait University, Khaldiya Campus, Safat 13060, Kuwait

New Mathematics and Natural Computation (NMNC), 2017, vol. 13, issue 02, 181-193

Abstract: Bigeneralized topology was introduced in 2010. In this paper, we aim to contribute in the development of this area by proving results with respect to the hereditary class that defines two types of Lindelöf spaces in a bigeneralized topological space (BGTS). Some results on strong BGTS (briefly SBGTS) are proved by defining a μ1μ2-perfect mapping. We also prove some equivalent conditions with respect to the hereditary class.

Keywords: Bigeneralized topological space; hereditary class; generalized topology; generalized continuity (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S1793005717500077

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