caa a22 4500 445379022 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10485-009-9205-4 doi (NATIONALLICENCE)springer-10.1007/s10485-009-9205-4 Šlapal Josef Department of Mathematics, Technical University of Brno, 616 69, Brno, Czech Republic aut Compactification with Respect to a Generalized-net Convergence on Constructs [Elektronische Daten] [Josef Šlapal] 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. Springer Science+Business Media B.V., 2009 Generalized net nationallicence Convergence structure on a construct nationallicence Categorical closure operator nationallicence Separation nationallicence Compactness nationallicence Applied Categorical Structures Springer Netherlands 19/2(2011-04-01), 523-537 0927-2852 19:2<523 2011 19 10485 https://doi.org/10.1007/s10485-009-9205-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-009-9205-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Šlapal Josef Department of Mathematics, Technical University of Brno, 616 69, Brno, Czech Republic aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/2(2011-04-01), 523-537 0927-2852 19:2<523 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer