Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces
نویسندگان
چکیده
We prove that any metrizable non-compact space has a weaker metrizable nowhere locally compact topology. As a consequence, any metrizable non-compact space has a weaker Hausdorff connected topology. The same is established for any Hausdorff space X with a σ -locally finite base whose weight w(X) is a successor cardinal. 2002 Elsevier Science B.V. All rights reserved. AMS classification: Primary 54A10; 54D05; 54E35, Secondary 54C05; 54E40; 54E45
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تاریخ انتشار 2002