Ohio completeness and products

D. Basile; J. van Mill

doi:10.1016/j.topol.2007.09.005

Ohio completeness and products

D. Basile, J. van Mill

Mathematics

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

Abstract

In [A.V. Arhangel'skiǐ, Remainders in compactifications and generalized metrizability properties, Topology Appl. 150 (2005) 79-90], Arhangel'skiǐ introduced the notion of Ohio completeness and proved it to be a useful concept in his study of remainders of compactifications and generalized metrizability properties. We will investigate the behavior of Ohio completeness with respect to closed subspaces and products. We will prove among other things that if an uncountable product is Ohio complete, then all but countably many factors are compact. As a consequence, R

Original language	English
Pages (from-to)	180-189
Journal	Topology and its Applications
Volume	155
Issue number	4
DOIs	https://doi.org/10.1016/j.topol.2007.09.005
Publication status	Published - 2008

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MR2380256

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10.1016/j.topol.2007.09.005

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AB - In [A.V. Arhangel'skiǐ, Remainders in compactifications and generalized metrizability properties, Topology Appl. 150 (2005) 79-90], Arhangel'skiǐ introduced the notion of Ohio completeness and proved it to be a useful concept in his study of remainders of compactifications and generalized metrizability properties. We will investigate the behavior of Ohio completeness with respect to closed subspaces and products. We will prove among other things that if an uncountable product is Ohio complete, then all but countably many factors are compact. As a consequence, R

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VL - 155

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JO - Topology and its Applications

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Ohio completeness and products

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