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On typical parametrizations of finite-dimensional compacta on the Cantor set

Paweł Milewski (2002)

Fundamenta Mathematicae

We prove that if X is a perfect finite-dimensional compactum, then for almost every continuous surjection of the Cantor set onto X, the set of points of maximal order is uncountable. Moreover, if X is a perfect compactum of positive finite dimension then for a typical parametrization of X on the Cantor set, the set of points of maximal order is homeomorphic to the product of the rationals and the Cantor set.

On uniform approximation of bounded approximately continuous functions by differences of lower semicontinuous and approximately continuous ones

Stanislav Vaněček (1986)

Czechoslovak Mathematical Journal

Ordinal indices in Banach spaces.

E. Odell (2004)

Extracta Mathematicae

Displaying 21 – 23 of 23

On typical parametrizations of finite-dimensional compacta on the Cantor set

On uniform approximation of bounded approximately continuous functions by differences of lower semicontinuous and approximately continuous ones

Ordinal indices in Banach spaces.

Currently displaying 21 – 23 of 23