There are no noncommutative soft maps

Autor: Chigogidze, Alex
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
Popis: It is shown that for a map $f \colon X \to Y$ of compact spaces the unital $\ast$-homomorphism $C(f) \colon C(Y) \to C(X)$ is projective in the category $\operatorname{Mor}({\mathcal C}^{1})$ precisely when $X$ is a dendrite and $f$ is either homeomorphism or a constant.
Databáze: arXiv