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Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces

Phillip Zenor (1980)

Fundamenta Mathematicae

Homomorphic images of $ℝ$ -factorizable groups

Mihail G. Tkachenko (2006)

Commentationes Mathematicae Universitatis Carolinae

It is well known that every $ℝ$ -factorizable group is $ω$ -narrow, but not vice versa. One of the main problems regarding $ℝ$ -factorizable groups is whether this class of groups is closed under taking continuous homomorphic images or, alternatively, whether every $ω$ -narrow group is a continuous homomorphic image of an $ℝ$ -factorizable group. Here we show that the second hypothesis is definitely false. This result follows from the theorem stating that if a continuous homomorphic image of an $ℝ$ -factorizable...

How sensitive is $C_{p} (X, Y)$ to changes in $X$ and/or $Y$ ?

Raushan Z. Buzyakova (2008)

Commentationes Mathematicae Universitatis Carolinae

We investigate how the Lindelöf property of the function space $C_{p} (X, Y)$ is influenced by slight changes in $X$ and/or $Y$ .

Hurewicz properties, non distinguishing convergence properties and sequence selection properties

Lev Bukovský (2003)

Acta Universitatis Carolinae. Mathematica et Physica

Displaying 1 – 4 of 4

Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces

Homomorphic images of ℝ -factorizable groups

How sensitive is C p ( X , Y ) to changes in X and/or Y ?

Hurewicz properties, non distinguishing convergence properties and sequence selection properties

Currently displaying 1 – 4 of 4

Homomorphic images of $ℝ$ -factorizable groups

How sensitive is $C_{p} (X, Y)$ to changes in $X$ and/or $Y$ ?