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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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An example of a complex manifold without a finite open cover

Fornaess and Stout proved that EVERY complex manifold (connected and second countable) can be covered by finitely many open subsets biholomorphic to a polydisc (Lemma II.1 in MR0470251). They even ha …
Finnur Larusson's user avatar