论某些函数族的强孔隙度

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2023-11-01 DOI:10.2478/tmmp-2023-0023

J. Hejduk, G. Ivanova, Renata Wiertelak

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引用次数: 0

摘要

摘要本文论述某些实函数族的强孔隙度，这些函数族相对于给定拓扑𝒯或𝒜-连续（即相对于实线集合的某些特殊族𝒜连续）是连续的。特别是，这些族的孔隙度是在拜尔 1 函数空间或拜尔 1 和达尔布函数空间中研究的。

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On Strong Porosity of Some Families of Functions

Abstract The paper deals with the strong porosity of some families of real functions continuous with respect to a given topology 𝒯 or 𝒜-continuous (i.e., continuous with respect to some special family 𝒜 of sets of the real line). Particularly, porosity of those families is investigated in space of the Baire 1 functions or in the space of the Baire 1 and Darboux functions.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

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0.00%

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