By David Gauld

Manifolds fall evidently into sessions reckoning on whether or not they may be outfitted with a distance measuring functionality or now not. 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 considerable yet have a extra modest heritage, having turn into of accelerating curiosity simply during the last forty years or so. the 1st booklet in this subject, this booklet levels from standards for metrisability, dynamics on non-metrisable manifolds, Nyikos’s Bagpipe Theorem and no matter if completely general manifolds are metrisable to buildings on manifolds, particularly the abundance of unique differential constructions and the lack of foliations at the lengthy airplane. A inflexible foliation of the Euclidean airplane is defined. This ebook is meant for graduate scholars and mathematicians who're excited about manifolds past the metrisability wall, and particularly using Set conception as a tool.

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