Reznichenko E., Sipacheva O. Fixed points of homeomorphisms and basically disconnected groups // Topology proceedings. — 2025. — Vol. 65. — P. 61–73.
Аннотация
It is proved that if X is a Tychonoff space with dim0X < , h: X → X is a fixed-point-free homeomorphism, and there exists a coarser paracompact topology on X with respect to which h remains a homeomorphism, then the extension βh of h to βX is fixed-point-free. Consequences for topological groups are derived.
, h: X → X is a fixed-point-free homeomorphism, and there exists a coarser paracompact topology on X with respect to which h remains a homeomorphism, then the extension βh of h to βX is fixed-point-free. Consequences for topological groups are derived.