$M$-mappings make their images less cellular
Tkachenko, Mihail G.
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 553-563 / Harvested from Czech Digital Mathematics Library
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We consider $M$-mappings which include continuous mappings of spaces onto topological groups and continuous mappings of topological groups elsewhere. It is proved that if a space $X$ is an image of a product of Lindelöf $\Sigma$-spaces under an $M$-mapping then every regular uncountable cardinal is a weak precaliber for $X$, and hence $ X$ has the Souslin property. An image $X$ of a Lindelöf space under an $M$-mapping satisfies $cel_{\omega}X\le2^{\omega}$. Every $M$-mapping takes a $\Sigma(\aleph_0)$-space to an $\aleph_0$-cellular space. In each of these results, the cellularity of the domain of an $M$-mapping can be arbitrarily large.

Publié le : 1994-01-01
Classification:  54A25,  54C99,  54H11 
@article{118696,
     author = {Mihail G. Tkachenko},
     title = {$M$-mappings make their images less cellular},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {553-563},
     zbl = {0840.54002},
     mrnumber = {1307283},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118696}
}

Tkachenko, Mihail G. $M$-mappings make their images less cellular. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 553-563. http://gdmltest.u-ga.fr/item/118696/

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