Interior operators and topological connectedness

  • G Castellini
  • J Ramos

Abstract

A categorical notion of interior operator is used in topology to define connectedness and disconnectedness with respect to an interior operator. A commutative diagram of Galois connections is used to show a relationship between these notions and Arhangelskii and Wiegandt’s notions of connectedness and disconnectedness with respect to a subclass of topological spaces. Examples are included.

Quaestiones Mathematicae 33(2010), 290–304

Author Biographies

G Castellini
Department of Mathematical Sciences, University of Puerto Rico at Mayagüez, Call Box 9000, Mayagüez, PR 00681-9000, USA
J Ramos
Department of Mathematical Sciences, University of Puerto Rico at Mayagüez, Call Box 9000, Mayagüez, PR 00681-9000, USA
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606