Compact semilattices with open principal filters
Олег Гутік, M. Rajagopalan, Karthick Sundaresan · Journal of the Australian Mathematical Society · 2002
Abstract A 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.