Detail publikace

On the weak reflections in some classes of topological spaces

KOVÁR, M.

Originální název

On the weak reflections in some classes of topological spaces

Anglický název

On the weak reflections in some classes of topological spaces

Jazyk

en

Originální abstrakt

The topic of weak reflections namely in compact spaces a has nice and long history. First I heard the beginning of the story in 1990 by J. Rosick\'y and then by M. Hu\v sek during my studies. I heard that it was perhaps Z. Frol\'\i k who 35 years ago in some occasion mentioned the question: {\it Is there a compactification $\gamma X$ of a topological space $X$ such that every continuous mapping from $X$ into any compact space $Y$ can be continuously extended to $\gamma X$?} In other words: {\it Is the class of compact spaces weakly reflective in the class of topological spaces?}

Anglický abstrakt

The topic of weak reflections namely in compact spaces a has nice and long history. First I heard the beginning of the story in 1990 by J. Rosick\'y and then by M. Hu\v sek during my studies. I heard that it was perhaps Z. Frol\'\i k who 35 years ago in some occasion mentioned the question: {\it Is there a compactification $\gamma X$ of a topological space $X$ such that every continuous mapping from $X$ into any compact space $Y$ can be continuously extended to $\gamma X$?} In other words: {\it Is the class of compact spaces weakly reflective in the class of topological spaces?}

Dokumenty

BibTex

@inproceedings{BUT3560,
author="Martin {Kovár}",
title="On the weak reflections in some classes of topological spaces",
annote="The topic of weak reflections namely in compact spaces a has nice and long history.
First I heard the beginning of the story in 1990 by J. Rosick\'y and then by M. Hu\v sek during my studies. I heard that
it was perhaps  Z. Frol\'\i k who  35 years ago in some occasion mentioned the question:
{\it Is there a  compactification $\gamma X$ of a topological space $X$ such that every
continuous mapping from $X$ into any compact space $Y$ can be continuously extended to
$\gamma X$?} In other words: {\it Is the  class of compact spaces weakly reflective in the class of
topological spaces?}",