Fully closed maps and non-metrizable higher-dimensional Anderson-Choquet continua

• Autorzy: Jerzy Krzempek
• Języki publikacji: EN

Abstrakty

EN

Fedorchuk's fully closed (continuous) maps and resolutions are applied in constructions of non-metrizable higher-dimensional analogues of Anderson, Choquet, and Cook's rigid continua. Certain theorems on dimension-lowering maps are proved for inductive dimensions and fully closed maps from spaces that need not be hereditarily normal, and some of the examples of continua we construct have non-coinciding dimensions.

Kategorie tematyczne

• 54F15: Continua and generalizations
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 120
• Numer: 2
• Strony: 201-222

Daty

wydano

2010

Twórcy

autor

Jerzy Krzempek

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Identyfikatory

DOI

10.4064/cm120-2-3