By David Gauld
Manifolds fall obviously into periods looking on whether or not they may be equipped with a distance measuring functionality or no longer. the previous, metrisable manifolds, and particularly compact manifolds, were intensively studied by means of topologists for over a century, while the latter, non-metrisable manifolds, are even more plentiful yet have a extra modest historical past, having develop into of accelerating curiosity in basic terms during the last forty years or so. the 1st booklet in this subject, this ebook levels from standards for metrisability, dynamics on non-metrisable manifolds, Nyikos’s Bagpipe Theorem and no matter if completely common manifolds are metrisable to constructions on manifolds, particularly the abundance of unique differential buildings and the lack of foliations at the lengthy airplane. A inflexible foliation of the Euclidean aircraft is defined. This ebook is meant for graduate scholars and mathematicians who're fascinated by manifolds past the metrisability wall, and particularly using Set thought as a tool.
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Non-metrisable Manifolds by David Gauld