Algebrability of S-continuous functions

被引：5

作者：

Strobin, Filip ^{[1
]}

Wiertelak, Renata ^{[2
]}

机构：

[1] Lodz Univ Technol, Inst Math, Wolczanska 215, PL-93005 Lodz, Poland

[2] Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2017年 / 231卷

关键词：

Density topology; S-density topology; Continuity; Algebrability; Exponential-like method; SETS;

D O I：

10.1016/j.topol.2017.09.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considering the natural topology or S-density topology on the domain and on the range we obtain different families of continuous functions f : R -> R. We prove that certain differences of those families are strongly c-algebrable, i.e., they contain c-generated free subalgebras. In particular, we obtain strengthenings of recent results of J. Hejduk, A. Loranty, R. Wiertelak, S. Lindner and M. Terepeta. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：373 / 385

页数：13

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