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Weak local homeomorphisms and B-favorable spaces

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Ukrainian Mathematical Journal Aims and scope

Let X and Y be topological spaces such that an arbitrary mapping f: X → Y for which every preimage f −1 (G) of a set G open in Y is an F σ-set in X can be represented in the form of the pointwise limit of continuous mappings f n : X → Y. We study the problem of subspaces Z of the space Y for which the mappings f: X → Z possess the same property.

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Authors and Affiliations

  1. Chernivtsi National University, Chernivtsi, Ukraine

    O. O. Karlova & V. V. Mykhailyuk

Authors
  1. O. O. Karlova
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  2. V. V. Mykhailyuk
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 9, pp. 1189–1195, September, 2008.

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Karlova, O.O., Mykhailyuk, V.V. Weak local homeomorphisms and B-favorable spaces. Ukr Math J 60, 1386–1395 (2008). https://doi.org/10.1007/s11253-009-0143-y

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  • DOI: https://doi.org/10.1007/s11253-009-0143-y

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