Glasnik matematički, Vol. 38 No. 1, 2003.
Original scientific paper
The extension dimension of universal spaces
Ivan Ivanšić
Leonard R. Rubin
Abstract
Let be an infinite cardinal, denote a class of CW-complexes, the class of all compact Hausdorff spaces, the class of all metrizable spaces of weight and n 0. We shall prove that,
(a) if U is a universal metrizable space of covering dimension n and weight , then ext-dim_(, ) U = [Sn], and
(b) if U , K , dim U K, and U contains a copy of every compact metrizable space X with dim X K, then ext-dim_(, ) U = [K].
Keywords
Extension theory; extension dimension; dimension; stratifiable space; subspace theorem
Hrčak ID:
1339
URI
Publication date:
1.6.2003.
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