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The extension dimension of universal spaces

Ivan Ivanšić
Leonard R. Rubin

Sažetak

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].

Ključne riječi

Extension theory; extension dimension; dimension; stratifiable space; subspace theorem

Hrčak ID:

1339

URI

https://hrcak.srce.hr/1339

Datum izdavanja:

1.6.2003.

Posjeta: 657 *