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Connectedness

  • Gabriele Castellini
Part of the Mathematics: Theory & Applications book series (MTA)

Abstract

The development of a general theory of topological connectedness was started by Preuß (cf. [Pr1-3]) and by Herrlich [H]. Afterwards, a considerable number of papers were published on this subject and on possible generalizations of it. However, most of them used the common approach of first defining a notion of constant morphism and then using it to introduce a notion of connectedness and disconnectedness, accordingly. Castellini and Hajek in [CH] were the first ones to introduce a notion of connectedness with respect to a closure operator in a concrete category over Set.

Keywords

Topological Space Normal Subgroup Closure Operator Torsion Theory Galois Connection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Gabriele Castellini
    • 1
  1. 1.Department of Mathematics MayaguezUniversity of Puerto RicoPuerto RicoUSA

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