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Compact semilattices with open principal filters

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AbstractA locally compact semilattice with open principal filters is a zero-dimensional scattered space. Cardinal invariants of locally compact and compact semilattices with open principal filters are investigated. Structure of topological semilattices on the one-point Alexandroff compactification of an uncountable discrete space and linearly ordered compact semilattices with open principal filters are researched.
Title: Compact semilattices with open principal filters
Description:
AbstractA locally compact semilattice with open principal filters is a zero-dimensional scattered space.
Cardinal invariants of locally compact and compact semilattices with open principal filters are investigated.
Structure of topological semilattices on the one-point Alexandroff compactification of an uncountable discrete space and linearly ordered compact semilattices with open principal filters are researched.

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