一个单独连续的函数，不是某种程度上连续的

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2021-10-11 DOI:10.2478/amsil-2021-0013

Wojciech Bielas

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引用次数: 0

摘要

摘要构造一个单独的连续函数f: π × π→[0;(1)和一个稠密的子集D≠π × π，使得f[D]在f[π × π]中不稠密，也就是说，f是单独连续的，不是有点(弱)连续的。

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A Separately Continuous Function Not Somewhat Continuous

Abstract We construct a separately continuous function f : ℚ × ℚ → [0; 1] and a dense subset D ⊆ ℚ × ℚ such that f[D] is not dense in f[ℚ × ℚ], in other words, f is separately continuous and not somewhat (feebly) continuous.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks