Disconnectednesses: Two Examples

Harriet Lord ()
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Harriet Lord: California State Polytechnic University at Pomona

A chapter in Categorical Topology, 1996, pp 203-212 from Springer

Abstract: Abstract We define the T 1 property for objects in topological categories, and prove that in a topological category the full subcategory of T 1 objects is a disconnectedness. We then characterize the T 1 objects in the categories Funsp and BiTop. In addition, we investigate disconnectednesses and A-regular morphisms in these categories.

Keywords: Connectedness; disconnectedness; topological category; bitopological space; 18A20; 18A30; 18B99; 54B30; 54C35 (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0263-3_18

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DOI: 10.1007/978-94-009-0263-3_18

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