On spaces without non-trivial subcontinua and the dimension of their products

J. van Mill; R Pol

doi:10.1016/j.topol.2003.12.010

On spaces without non-trivial subcontinua and the dimension of their products

J. van Mill, R Pol

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We introduce splintered and strongly splintered spaces. They are generalizations of both almost zero-dimensional spaces and weakly 1-dimensional spaces. We prove that there are n-dimensional strongly splintered spaces for every n, and that there is a 1-dimensional splintered space X such that dimX

Original language	English
Pages (from-to)	31-48
Journal	Topology and its Applications
Volume	142
Issue number	1-3
DOIs	https://doi.org/10.1016/j.topol.2003.12.010
Publication status	Published - 2004

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MR2071291

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10.1016/j.topol.2003.12.010

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title = "On spaces without non-trivial subcontinua and the dimension of their products",

abstract = "We introduce splintered and strongly splintered spaces. They are generalizations of both almost zero-dimensional spaces and weakly 1-dimensional spaces. We prove that there are n-dimensional strongly splintered spaces for every n, and that there is a 1-dimensional splintered space X such that dimX",

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AU - Pol, R

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AB - We introduce splintered and strongly splintered spaces. They are generalizations of both almost zero-dimensional spaces and weakly 1-dimensional spaces. We prove that there are n-dimensional strongly splintered spaces for every n, and that there is a 1-dimensional splintered space X such that dimX

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DO - 10.1016/j.topol.2003.12.010

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SP - 31

EP - 48

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1-3

ER -

On spaces without non-trivial subcontinua and the dimension of their products

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