The lifting-extension problem for Duchain complexes of Dwyer and Kan

• Autorzy: Spaliński, J.
• Języki publikacji: EN

Abstrakty

EN

A duchain complex of W. Dwyer and D. Kan is a common extension of the notions of a chain complex and a cochain complex. Given a square commutative diagram of duchain complexes, the lifting-extension problem asks whether there exists a diagonal map making the two resulting triangles commute. Duchain complexes have a model category structure, and hence a lift exists if the left vertical map is a cofibration, the right vertical map is a fibration, and one of them is a weak equivalence. We show that it is possible to replace the two conditions above, by a countably infinite, bigraded, family of conditions which guarantee the existence of a lift.

Słowa kluczowe

PL

kompleks Duchaina; kategoria modela

EN

Duchain complex; lifting-extension problem; model category

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2015
• Tom: Vol. 48, nr 1
• Strony: 21--30
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Spaliński, J.

• Warsaw University of Technology,

Bibliografia

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• [6] S. T. Hu, Homotopy Theory, Academic Press, 1959.
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• [9] J. Spaliński, Stratified model categories, Fund. Math. 178 (2003), 217–236.