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Egbert Rijke: The Hurewicz Theorem in Homotopy Type Theory

Date of publication: 19. 1. 2022
Mathematics and theoretical computing seminar
Thursday
20
January
Time:
10:15 - 12:00
Location:
Jadranska 21, 3.07
ID: 963 7253 5713

I will present a proof of Dan Christensen and Luis Scoccola fo the Hurewicz Theorem in homotopy type theory. Te theorem states that for a pointed (n-1)-connected type X and an abelian group A, there is a natural isomorphism π_n(X)ᵃᵇ ⊗ A ≅ Ȟ_n(X;A), where Ȟ_n(X;A) is the n-th reduced homology group of X with coefficients in A.