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On forms of continuity and cliquishness

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Abstract

We study the notions of continuity and cliquishness of mapsf: (X, T)→(Y,T′) with the help of collections η⊂P(P(Y)) of families such that the conditionK⊂A∈Ä impliesK∈Ä for eachÄ∈ η andK⊂Y. The article points to far-going similarities between the weak forms of continuity, strong forms of continuity and cliquishness. The present concept unifis various concepts of continuity and cliquishness of maps.

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  1. Institute of mathematics, Warsaw University, Bialystok Campus ul. Akademicka 2, 15-267, Bialystok, Poland

    Marian Przemski

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Przemski, M. On forms of continuity and cliquishness. Rend. Circ. Mat. Palermo 42, 417–452 (1993). https://doi.org/10.1007/BF02844632

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  • DOI: https://doi.org/10.1007/BF02844632

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