2017
Том 69
№ 9

All Issues

Weak local homeomorphisms and B-favorable spaces

Karlova O. O., Mykhailyuk V. V.

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Abstract

Let X and Y be topological spaces such that every mapping f : XY for which the set f - 1(G) is an f σ -set in X for any set G open in Y can be represented as a pointwise limit of continuous mappings fn : XY. The question of subspaces Z of the space Y for which mappings f : XZ have the same property is investigated.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 9, pp 1386-1395.

Citation Example: Karlova O. O., Mykhailyuk V. V. Weak local homeomorphisms and B-favorable spaces // Ukr. Mat. Zh. - 2008. - 60, № 9. - pp. 1189–1195.

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