By David Gauld
Manifolds fall obviously into periods looking on whether or not they may be geared up 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 ample yet have a extra modest historical past, having turn into of accelerating curiosity merely over the last forty years or so. the 1st e-book 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, in particular the abundance of unique differential buildings and the shortage of foliations at the lengthy airplane. A inflexible foliation of the Euclidean airplane is defined. This publication is meant for graduate scholars and mathematicians who're interested by manifolds past the metrisability wall, and particularly using Set concept as a tool.
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Non-metrisable Manifolds by David Gauld