### Extension dimension of a wide class of spaces

Ivan IVANŠIĆ and Leonard R. RUBIN
Source: J. Math. Soc. Japan Volume 61, Number 4 (2009), 1097-1110.

#### Abstract

We prove the existence of extension dimension for a much expanded class of spaces. First we obtain several theorems which state conditions on a polyhedron or $\mathop{\mathrm{CW}}$-complex $K$ and a space $X$ in order that $X$ be an absolute co-extensor for $K$. Then we prove the existence of and describe a wedge representative of extension dimension for spaces in a wide class relative to polyhedra or $\mathop{\mathrm{CW}}$-complexes. We also obtain a result on the existence of a “countable” representative of the extension dimension of a Hausdorff compactum.

First Page:
Primary Subjects: 54C55, 54C20
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1257520501
Digital Object Identifier: doi:10.2969/jmsj/06141097
Mathematical Reviews number (MathSciNet): MR2588505
Zentralblatt MATH identifier: 1182.54023

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Project Euclid: euclid.pja/1195570434