Consequences Of Martin's Axiom (cambridge Tracts In Mathematics)
by D. H. Fremlin /
1984 / English / PDF
5.9 MB Download
'Martin's axiom' is one of the most fruitful axioms which have been
devised to show that certain properties are insoluble in standard
set theory. It has important 1applications m set theory, infinitary
combinatorics, general topology, measure theory, functional
analysis and group theory. In this book Dr Fremlin has sought to
collect together as many of these applications as possible into one
rational scheme, with proofs of the principal results. His aim is
to show how straightforward and beautiful arguments can be used to
derive a great many consistency results from the consistency of
Martin's axiom.
'Martin's axiom' is one of the most fruitful axioms which have been
devised to show that certain properties are insoluble in standard
set theory. It has important 1applications m set theory, infinitary
combinatorics, general topology, measure theory, functional
analysis and group theory. In this book Dr Fremlin has sought to
collect together as many of these applications as possible into one
rational scheme, with proofs of the principal results. His aim is
to show how straightforward and beautiful arguments can be used to
derive a great many consistency results from the consistency of
Martin's axiom.
