Autohomeomorphism groups of $0$-dimensional spaces

J. de Groot; R. H. McDowell

Generalized dyadic spaces

Murray Bell (1985)

Fundamenta Mathematicae

Similarity:

On the number of compact subsets in topological groups

Ofelia Teresa Alas (1987)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Homomorphic images of $ℝ$ -factorizable groups

Mihail G. Tkachenko (2006)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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...

Products and measurable cardinals

Szymański, Andrzej

Similarity:

Displaying similar documents to “Autohomeomorphism groups of 0 -dimensional spaces”

Generalized dyadic spaces

On the number of compact subsets in topological groups

Homomorphic images of ℝ -factorizable groups

Products and measurable cardinals

Displaying similar documents to “Autohomeomorphism groups of $0$ -dimensional spaces”

Homomorphic images of $ℝ$ -factorizable groups