Configuration Spaces in Algebraic Topology: Lecture 2
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Configuration Spaces in Algebraic Topology: Lecture 1
Perspective (Invariants). The homotopy type of a fixed configuration space is a homeomorphism invariant of the background space, and, in the case of a manifold, it turns out that these invariants remember a rather large amount of information. A simple-minded example is provided by Euclidean spaces of different dimension; indeed, as we will see, there is a homotopy equivalence B2(R) ' B2(R) if a...
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