Abstract:The structure of sub-, pseudo- and quasimaximal spaces is investigated. A method of constructing non-trivial quasimaximal spaces is presented.
Keywords: submaximal, quasimaximal, pseudomaximal, ultrafilter, tensorproduct, measurable cardinal, $\sigma $-discrete, tree, \v {C}ech-Stone-compactification, retraction
AMS Subject Classification: Primary 54A10; Secondary 54D30