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Optimality of mappings and some separation axioms

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Abstract

Optimal mappings and optimally irresolute mappings are introduced. Fundamental properties of them are obtained. Preservation of well-known separation axioms (semi-ℐ2, ℐ2, semi-normality, normality, s-regularity, regularity) under such types of mappings (with some additional conditions) is studied.

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Authors and Affiliations

  1. Department of Mathematics, Casimirus the Great University, pl. Weyssenhoffa 11, 85-072, Bydgoszcz, Poland

    Zbigniew Duszyński

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  1. Zbigniew Duszyński
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Correspondence to Zbigniew Duszyński.

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Duszyński, Z. Optimality of mappings and some separation axioms. Rend. Circ. Mat. Palermo 57, 213–228 (2008). https://doi.org/10.1007/s12215-008-0015-6

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  • DOI: https://doi.org/10.1007/s12215-008-0015-6

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