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

• Autorzy: Paweł Milewski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54D30: Compactness
• 54C50: Special sets defined by functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 174
• Numer: 3
• Strony: 253-261

Daty

wydano

2002

Twórcy

autor

Paweł Milewski

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm174-3-5