On Homeomorphisms of Function Spaces Over Products with Compacta

Autor: Buzyakova, Raushan
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: We show that if $C_p(X\times Z)$ is homeomorphic to $C_p(Y\times Z)$, where $Z$ is compact, and $X$ and $Y$ are of countable netweight, then $C_p(X\times M)$ is homeomorphic to $C_p(Y\times M)$ for some metric compactum $M$.
Databáze: arXiv