On the weak reflections in some classes of topological spaces

On the weak reflections in some classes of topological spaces

Paper in proceedings (conference paper)

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?}

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?}

weak reflections, extensions and compactifications

weak reflections, extensions and compactifications

KOVÁR, M.

02.08.2000

Istanbul University

Abstracts of the First Turkish International Conference on Topology and Its Applications

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