Monatshefte für Mathematik

, Volume 131, Issue 4, pp 335–341 | Cite as

Compactification of Limit ?-Net Spaces

  • Josef Šlapal


 Limit ?-net spaces are defined as convergence spaces whose convergence is expressed by using generalized nets, the so-called ?-nets (where ? is a construct). For limit ?-net spaces we study compactifications, especially those ones that are analogous to the Alexandrov and Čech-Stone compactifications known for topological spaces.

1991 Mathematics Subject Classification: 54D30 54A20 54B30 54D80 
Key words: Limit ?-net space compactification one-point compactification Čech-Stone compactification 


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Copyright information

© Springer-Verlag Wien 2000

Authors and Affiliations

  • Josef Šlapal
    • 1
  1. 1.Technical University of Brno, Czech RepublicCZ

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