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

Economics and Computational Rationality Group, Department of Mathematics, Debraj Roy College, Golaghat 785621, Assam, India

E-mail Address: sacharjee326@gmail.com

E-mail Address: santanuacharjee@rediffmail.com

Corresponding author.

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Binod Chandra Tripathy

Department of Mathematics, Tripura University, Suryamaninagar, Agartala 799022, Tripura, India

E-mail Address: tripathybc@rediffmail.com

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, and

Kyriakos Papadopoulos

Department of Mathematics, Kuwait University, Khaldiya Campus, Safat 13060, Kuwait

E-mail Address: kyriakos.papadopoulos1981@gmail.com

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https://doi.org/10.1142/S1793005717500077Cited by:2 (Source: Crossref)

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 $μ_{1} μ_{2}$ $μ_{1} μ_{2}$ -perfect mapping. We also prove some equivalent conditions with respect to the hereditary class.

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