7 citations · 20 across the 7 of their papers we have counts for
7 papers
Cardinal invariants for -box products
W. W. Comfort, Ivan S. Gotchev
Definition. Let be an infinite cardinal, let {X(i)} be a (not necessarily faithfully indexed) set of topological spaces, and let X be the product of the spaces X(i). The -bo…
Exactly -resolvable Topological Expansions
W. W. Comfort, Wanjun Hu
For a cardinal, a space $X=(X,\sT)$ is -{\it resolvable} if admits -many pairwise disjoint $\sT$-dense subsets; $(X,\sT)$ is {\it exactly} -{\it resolvable} if it…
Tychonoff Expansions with Prescribed Resolvability Properties
W. W. Comfort, Wanjun Hu
The recent literature offers examples, specific and hand-crafted, of Tychonoff spaces (in ZFC) which respond negatively to these questions, due respectively to Ceder and Pearson (1…
Locally precompact groups: (Local) realcompactness and connectedness
W. W. Comfort, G. Lukács
A theorem of A. Weil asserts that a topological group embeds as a (dense) subgroup of a locally compact group if and only if it contains a non-empty precompact open set; such group…
Making group topologies with, and without, convergent sequences
W. W. Comfort, S. U. Raczkowski, F. J. Trigos-Arrieta
(1) Every infinite, Abelian compact (Hausdorff) group K admits 2^|K|-many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to b…
Concerning the dual group of a dense subgroup
W. W. Comfort, S. U. Raczkowski, F. Javier Trigos-Arrieta
Throughout this Abstract, is a topological Abelian group and is the space of continuous homomorphisms from into in the compact-open topology. A dense subgroup…