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Embedding S(X) into S(Y) when Y is compact and S is not.

K. D. jr. Magill (1976)

Semigroup forum

Erratum: ``A note on mappings of Baire spaces' (Math. Slovaca 27 (1977), no. 2, 173--176)

Tibor Neubrunn (1977)

Mathematica Slovaca

Espaces uniformes et espaces de mesures

Ali Deaibes (1975)

Publications du Département de mathématiques (Lyon)

Essential mappings and transfinite dimension

P. Borst, Jan Dijkstra (1985)

Fundamenta Mathematicae

Examples of disks in $E^{3}$ /G which cannot be approximated by P-liftable disks

Edythe Woodruff (1974)

Fundamenta Mathematicae

Exemples d'actions non continues d'un groupe dans un compact.

A. Bouziad (1994)

Semigroup forum

Exotic ANR's via null decompositions of Hilbert cube manifolds

S. Singh (1985)

Fundamenta Mathematicae

Exponential domination in function spaces

Vladimir Vladimirovich Tkachuk (2020)

Commentationes Mathematicae Universitatis Carolinae

Given a Tychonoff space $X$ and an infinite cardinal $κ$ , we prove that exponential $κ$ -domination in $X$ is equivalent to exponential $κ$ -cofinality of $C_{p} (X)$ . On the other hand, exponential $κ$ -cofinality of $X$ is equivalent to exponential $κ$ -domination in $C_{p} (X)$ . We show that every exponentially $κ$ -cofinal space $X$ has a $κ^{+}$ -small diagonal; besides, if $X$ is $κ$ -stable, then $n w (X) \leq κ$ . In particular, any compact exponentially $κ$ -cofinal space has weight not exceeding $κ$ . We also establish that any exponentially $κ$ -cofinal space $X$ with...

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