命中不命中拓扑的Hurewicz和Hurewicz型星型选择原则

Pub Date : 2023-01-01 DOI:10.2298/fil2304143c

Ricardo Cruz-Castillo, A. Ramírez-Páramo, J. Tenorio

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引用次数: 1

摘要

本文利用拓扑空间X的??(?)-网络和c?(?)-覆盖，继续研究具有命中不命中拓扑的超空间CL(X)、K(X)、F(X)和CS(X)中选择原理的表征，证明了这些超空间中覆盖性质Hurewicz、强星型Hurewicz、星型Hurewicz和绝对强星型Hurewicz的定理。

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Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology

In this paper we continue the study of the characterization of selection principles in the hyperspaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using ??(?)-networks and c?(?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.

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