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

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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)

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.

Suggested Citation

  • Santanu Acharjee & Binod Chandra Tripathy & Kyriakos Papadopoulos, 2017. "Two Forms of Pairwise Lindelöfness and Some Results Related to Hereditary Class in a Bigeneralized Topological Space," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 181-193, July.
    • Handle: RePEc:wsi:nmncxx:v:13:y:2017:i:02:n:s1793005717500077
    DOI: 10.1142/S1793005717500077
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    References listed on IDEAS

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    1. Santanu Acharjee, 2017. "New Results for Kharal’s Similarity Measures of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 55-60, March.
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    Cited by:

    1. Santanu Acharjee, 2018. "On Connections of Soft Set Theory with Existing Mathematics of Uncertainties: A Short Discussion for Non-Mathematicians with Respect to Soft Set Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-9, March.

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