Sum theorems for Ohio completeness

D. Basile; J. van Mill; G. J. Ridderbos

Colloquium Mathematicae (2008)

  • Volume: 113, Issue: 1, page 91-104
  • ISSN: 0010-1354

Abstract

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We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking σ-locally finite closed sums and also by taking point-finite open sums. We provide counterexamples to show that Ohio completeness is preserved neither by taking locally countable closed sums nor by taking countable open sums.

How to cite

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D. Basile, J. van Mill, and G. J. Ridderbos. "Sum theorems for Ohio completeness." Colloquium Mathematicae 113.1 (2008): 91-104. <http://eudml.org/doc/284000>.

@article{D2008,
abstract = {We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking σ-locally finite closed sums and also by taking point-finite open sums. We provide counterexamples to show that Ohio completeness is preserved neither by taking locally countable closed sums nor by taking countable open sums.},
author = {D. Basile, J. van Mill, G. J. Ridderbos},
journal = {Colloquium Mathematicae},
keywords = {Ohio complete; sum theorem; compactification},
language = {eng},
number = {1},
pages = {91-104},
title = {Sum theorems for Ohio completeness},
url = {http://eudml.org/doc/284000},
volume = {113},
year = {2008},
}

TY - JOUR
AU - D. Basile
AU - J. van Mill
AU - G. J. Ridderbos
TI - Sum theorems for Ohio completeness
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 1
SP - 91
EP - 104
AB - We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking σ-locally finite closed sums and also by taking point-finite open sums. We provide counterexamples to show that Ohio completeness is preserved neither by taking locally countable closed sums nor by taking countable open sums.
LA - eng
KW - Ohio complete; sum theorem; compactification
UR - http://eudml.org/doc/284000
ER -

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