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.

成份

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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