manifolds and cobordisms
cobordism theory, Introduction
Definitions
Genera and invariants
Classification
Theorems
Given two manifolds , (e.g. topological manifolds, differentiable manifolds, smooth manifolds, etc.) the product manifold is the Cartesian product in the corresponding category of manifolds: its underlying topological space is the product topological space and its charts are the Cartesian product of the given charts of and .
For Cartesian spaces we have
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