Continuous depencence of on as a selection property.
On the uniform paracompactness of the product of two uniform spaces
On the uniform paracompactness
On uniform paracompactness of the -metric spaces
Gli spazi -metrici uniformemente numerabilmente paracompatti sono uniformemente paracompatti. Si fornisce altresì una caratterizzazione degli spazi -metrici fini.
On uniform paracompactness of the -metric spaces
Gli spazi -metrici uniformemente numerabilmente paracompatti sono uniformemente paracompatti. Si fornisce altresì una caratterizzazione degli spazi -metrici fini.
Some conditions under which a uniform space is fine
Let be a uniform space of uniform weight . It is shown that if every open covering, of power at most , is uniform, then is fine. Furthermore, an -metric space is fine, provided that every finite open covering is uniform.
Some large and small sets in topological groups.
On the compactness of minimal spectrum
A subspace of and its connexions with the maximal ring of quotients
Selections and suborderability
We extend van Mill-Wattel's results and show that each countably compact completely regular space with a continuous selection on couples is suborderable. The result extends also to pseudocompact spaces if they are either scattered, first countable, or connected. An infinite pseudocompact topological group with such a continuous selection is homeomorphic to the Cantor set. A zero-selection is a selection on the hyperspace of closed sets which chooses always an isolated point of a set. Extending Fujii-Nogura...
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