Convergence S-compactifications

Bernd Losert, Gary Richardson


Properties of continuous actions on convergence spaces are investigated. The primary focus is the characterization as to when a continuous action on a convergence space can be continuously extended to an action on a compactification of the convergence space. The largest and smallest such compactifications are studied.


convergence space; convergence semigroup; continuous action; S-compactification.

Subject classification

54A20; 54D35.

Full Text:



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1. Compactification: Limit Tower Spaces
H. Boustique, G. Richardson
Applied Categorical Structures  vol: 25  issue: 3  first page: 349  year: 2017  
doi: 10.1007/s10485-016-9426-2

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Universitat Politècnica de València

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