Titlebook: Non-metrisable Manifolds; David Gauld Book 2014 Springer Science+Business Media Singapore 2014 Bagpipe Theorem.Brown’s Monotone Union Theo

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Are Perfectly Normal Manifolds Metrisable?,ble, was found to be independent of . too. In this chapter we exhibit (essentially) the perfectly normal, non-metrisable manifold which Rudin and Zenor constructed using .. We also present Rudin’s proof that under ... every perfectly normal manifold is metrisable.

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Topological Manifolds,ne is eventually constant. Some standard constructions of non-metrisable manifolds are presented, including versions of the Prüfer manifold, Moore’s way of identifying two boundary components to eliminate them as boundary components and Nyikos’s method of inserting a closed long ray into the open unit square of the real plane.

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