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Article


Title

Mapping theorems on spaces with sn-network g-functions

Authors

Year of publication

2015

Published in

Fasciculi Mathematici

Journal year: 2015 | Journal number: nr 55

Article type

scientific article

Publication language

english

Keywords
EN
  • sn-networks
  • sn-network g-functions
  • g-metrizable spaces
  • boundary-compact maps
  • sequentially-quotient maps
  • pseudo-sequence-covering maps
  • sequence-covering maps
  • 1-sequence-covering maps
Abstract

EN Let Δ be the sets of all topological spaces satisfying the following conditions. (1) Each compact subset of X is metrizable; (2) There exists an sn-network g-function g on X such that if xnx and yn Є g(n, xn) for all n Є N, then x is a cluster point of {yn}. In this paper, we prove that if X Є Δ, then each sequentially-quotient boundary-compact map on X is pseudo-sequence-covering; if X Є Δ and X has a point-countable sn-network, then each sequence-covering boundary-compact map on X is 1-sequence-covering. As the applications, we give that each sequentially-quotient boundary-compact map on g-metrizable spaces is pseudo-sequence-covering, and each sequence-covering boundary-compact on g-metrizable spaces is 1-sequence-covering.

Pages (from - to)

199 - 208

DOI

10.1515/fascmath-2015-0024

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Full text of article

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Access level to full text

public

Points of MNiSW / journal

10.0

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