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Hatcher-Algebraic-Topology
· Problem 4.1.10
Homotopy Theory
Mathematics — Graph Theory · quasi-circle-homotopy-groups
Problem
Show the 'quasi-circle' described in Exercise 7 in §1.3 has trivial homotopy groups but is not contractible, hence does not have the homotopy type of a CW complex.
Related theory
Higher Homotopy Groups And The Hurewicz Theorem
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