Mapping theorems on spaces with sn-network g-functions

• Autorzy: Tuyen L. Q.

Identyfikatory

DOI

10.1515/fascmath-2015-0024

• Języki publikacji: EN

Abstrakty

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 x_n → x and y_n Є g(n, x_n) for all n Є N, then x is a cluster point of {y_n}. 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.

Słowa kluczowe

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

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2015
• Tom: Nr 55
• Strony: 199--208
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Tuyen L. Q.

• Department of Mathematics Da Nang University, Vietnam

Bibliografia

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