2025

Reznichenko E., Tkachenko M. Regular rigid korovin orbits // ArXiv e-prints. — 2025. — P. 1–12.

Аннотация

An example of an infinite regular feebly compact quasitopological group is presented such that all continuous real-valued functions on the group are constant. The example is based on the use of Korovin orbits in XG, where X is a special regular countably compact space constructed by S. Bardyla and L. Zdomskyy and G is an abstract Abelian group of an appropriate cardinality. Also, we study the interplay between the separation properties of the space X and Korovin orbits in XG.