Algebrability of S-continuous functions

作者：Strobin Filip; Wiertelak Renata^*

来源：Topology and Its Applications, 2017, 231: 373-385.

DOI：10.1016/j.topol.2017.09.021

• Density topology
• S-density topology
• Continuity
• Algebrability
• Exponential-like method

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.

• 出版日期2017-11-1