Sum theorems for Ohio completeness

• Autorzy: D. Basile , J. van Mill , G. J. Ridderbos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54G20: Counterexamples
• 54B05: Subspaces
• 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 113
• Numer: 1
• Strony: 91-104

Daty

wydano

2008

Twórcy

autor

D. Basile

• Faculty of Sciences, Department of Mathematics, VU University Amsterdam, De Boelelaan 1081A, 1081 Amsterdam, the Netherlands

autor

J. van Mill

• Faculty of Sciences, Department of Mathematics, VU University Amsterdam, De Boelelaan 1081A, 1081 HV Amsterdam, the Netherlands

autor

G. J. Ridderbos

• Faculty of Sciences, Department of Mathematics, VU University Amsterdam, De Boelelaan 1081A, 1081 Amsterdam, the Netherlands

Identyfikatory

DOI

10.4064/cm113-1-6