Author： Šlapal Josef
Publisher： Springer Publishing Company
ISSN： 0927-2852
Source： Applied Categorical Structures, Vol.19, Iss.2, 2011-04, pp. : 523-537
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Abstract
We introduce and deal with a convergence on (objects of) constructs which is expressed in terms of generalized nets. The generalized nets used are obtained from the usual nets by replacing the construct of directed sets and cofinal maps by an arbitrary construct. Convergence separation and convergence compactness are then introduced in a natural way. We study the convergence compactness and compactification and show that they behave in much the same way as the compactness and compactification of topological spaces.
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