7. Geometric Topology
The fifth general mathematical framework is that of geometric topology, which amounts to considering Euclidean space such as the ambient vector space, and the object of interest is the topological manifold.
7.1 Topological varieties
Definition (topological manifold). A topological manifold X of dimension m (where m is an integer such that 0 ≤ m ≤ n) is a nonempty topological space such that each of its points x has an open neighborhood O(x) that is homeomorphic to the open unit ball of ...
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Geometric Topology
Algebraic Topology
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