Topology Proceedings 30 No. 1 (2006), pp. 237-250

The Coinitiality of a Compact Space

Stefan Geschke

This article deals with the coinitiality of topological spaces, a concept that generalizes the cofinality of a Boolean algebra as introduced by Sabine Koppelberg in [Boolean algebras as unions of chains of subalgebras, Algebra Universalis 7 (1977), 195-203]. The compact spaces of countable coinitiality are characterized. This gives a new characterization of Boolean algebras of countable cofinality. We also discuss cofinalities of C^*-algebras and of Banach spaces.

Keywords: cofinality, discrete space, separable quotient

Mathematics Subject Classification: 54{A}25 46{B}26 (06{E}05 06{E}15 46{L}05)

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Topology Proceedings, Volume 30, No. 1 (2006)
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