On supercomplete uniform spaces V: Tamano's product problem
On supercomplete uniform spaces. II
An infinitary version of Sperner's Lemma
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
On the locally fine construction in uniform spaces, locales and formal spaces
On complexity of metric spaces
On supercomplete uniform spaces IV: Countable products
Remarks on certain uniform covering properties
Countable products of Čech-scattered supercomplete spaces
We prove by using well-founded trees that a countable product of supercomplete spaces, scattered with respect to Čech-complete subsets, is supercomplete. This result extends results given in [Alstera], [Friedlera], [Frolika], [HohtiPelantb], [Pelanta] and its proof improves that given in [HohtiPelantb].
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