Displaying similar documents to “On the uniqueness of maximal functions.”

Maximal pseudocompact spaces

Jack R. Porter, Robert M., Jr. Stephenson, Grant R. Woods (1994)

Commentationes Mathematicae Universitatis Carolinae

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Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.

Analytic nonregular cocycles over irrational rotations

Mariusz Lemańczyk (1995)

Commentationes Mathematicae Universitatis Carolinae

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Analytic cocycles of type I I I 0 over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing.