A dimensional property of Cartesian product

Michael Levin

doi:10.4064/fm220-3-7

A dimensional property of Cartesian product

Michael Levin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We show that the Cartesian product of three hereditarily infinite-dimensional compact metric spaces is never hereditarily infinite-dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.

Original language	English
Pages (from-to)	281-286
Number of pages	6
Journal	Fundamenta Mathematicae
Volume	220
Issue number	3
DOIs	https://doi.org/10.4064/fm220-3-7
State	Published - 24 Apr 2013

Keywords

Cohomological dimension
Extension theory
Hereditarily infinite-dimensional compacta

ASJC Scopus subject areas

Algebra and Number Theory

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10.4064/fm220-3-7

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A dimensional property of Cartesian product

Abstract

Keywords

ASJC Scopus subject areas

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