On the compactness of minimal spectrum
An answer to a question on hyperspaces
-additive topological spaces
Notes on the topologies and uniformities of hyperspaces
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...
Some large and small sets in topological groups.
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