Geodesic
Sum theorems for Ohio completeness
D. Basile1 ; J. van Mill2 ; G. J. Ridderbos3
1 Faculty of Sciences Department of Mathematics VU University Amsterdam De Boelelaan 1081A 1081 Amsterdam, the Netherlands
2 Faculty of Sciences Department of Mathematics VU University Amsterdam De Boelelaan 1081A 1081 HV Amsterdam the Netherlands
3 Faculty of Sciences Department of Mathematics VU University Amsterdam De Boelelaan 1081A 1081 Amsterdam the Netherlands
Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 91-104 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking $\sigma $-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.
DOI : 10.4064/cm113-1-6
Keywords: present several sum theorems ohio completeness prove ohio completeness preserved taking sigma locally finite closed sums taking point finite sums provide counterexamples ohio completeness preserved neither taking locally countable closed sums nor taking countable sums

D. Basile 1 ; J. van Mill 2 ; G. J. Ridderbos 3

1 Faculty of Sciences Department of Mathematics VU University Amsterdam De Boelelaan 1081A 1081 Amsterdam, the Netherlands
2 Faculty of Sciences Department of Mathematics VU University Amsterdam De Boelelaan 1081A 1081 HV Amsterdam the Netherlands
3 Faculty of Sciences Department of Mathematics VU University Amsterdam De Boelelaan 1081A 1081 Amsterdam the Netherlands 
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D. Basile; J. van Mill; G. J. Ridderbos. Sum theorems for Ohio completeness. Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 91-104. doi: 10.4064/cm113-1-6

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