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Currently displaying 1 – 4 of 4

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O riešení niektorých nerozhodnutelných topologických problémov

William Wistar Comfort — 1982

Pokroky matematiky, fyziky a astronomie

Cofinal families in certain function spaces

William Wistar Comfort — 1988

Commentationes Mathematicae Universitatis Carolinae

Extremal pseudocompact Abelian groups: A unified treatment

William Wistar Comfort; Jan van Mill — 2013

Commentationes Mathematicae Universitatis Carolinae

The authors have shown [Proc. Amer. Math. Soc. 135 (2007), 4039--4044] that every nonmetrizable, pseudocompact abelian group has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology. Here they give a comprehensive, direct and self-contained proof of this result.

The dual group of a dense subgroup

William Wistar Comfort; S. U. Raczkowski; F. Javier Trigos-Arrieta — 2004

Czechoslovak Mathematical Journal

Throughout this abstract, $G$ is a topological Abelian group and $\hat{G}$ is the space of continuous homomorphisms from $G$ into the circle group $𝕋$ in the compact-open topology. A dense subgroup $D$ of $G$ is said to determine $G$ if the (necessarily continuous) surjective isomorphism $\hat{G} ↠ \hat{D}$ given by $h \mapsto h | D$ is a homeomorphism, and $G$ is determined if each dense subgroup of $G$ determines $G$ . The principal result in this area, obtained independently by L. Außenhofer and M. J. Chasco, is the following: Every metrizable group is...

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