On complete accumulation points of discrete subsets

Ofelia T. Alas

Brazil

Universidade de Sao Paulo

Richard G. Wilson

Mexico

Universidad Autónoma Metropolitana

Departamento de Matemáticas

Submitted: 2013-11-15

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Accepted: 2013-11-15

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DOI: https://doi.org/10.4995/agt.2007.1893
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Supporting agencies:

Nacional de Ciencia y Tecnología (México)

grant 38164- E and Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (Brasil)

Abstract:

We introduce a class of spaces in which every discrete subset has a complete accumulation point. Properties of this class are obtained and consistent examples are given to show that this clas sdiffers from the class of countably compact and the class of compact spaces. A number of questions are posed.
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