# On regular countably compact \mathbb{R}-rigid spaces

07.12.2021 15:00 - 16:30

S. Bardyla (U Wien)

A regular separable first-countable countably compact space is called a Nyikos space. A space \(X\) is called \(\mathbb{R}\)-rigid if any continuous real-valued function on \(X\) is constant. Under MA we construct an \(\mathbb{R}\)-rigid Nyikos space. This way we answer a few questions of Tzannes and extend results of Ciesielski and Wojciechowski.

This is a joint work with Zdomskyy.

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