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Chain homotopy pullbacks and pushouts. (English) Zbl 0503.55014


MSC:

55U35 Abstract and axiomatic homotopy theory in algebraic topology
55U15 Chain complexes in algebraic topology
18G35 Chain complexes (category-theoretic aspects), dg categories
18A99 General theory of categories and functors
55P99 Homotopy theory
55P05 Homotopy extension properties, cofibrations in algebraic topology
55R05 Fiber spaces in algebraic topology
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References:

[1] 1 K.H. Kamps , Note on normal sequences of chain complexes , Colloquium Math. XXXIX ( 1978 ), 225 - 227 . MR 522360 | Zbl 0403.55001 · Zbl 0403.55001
[2] 2 M. Mather , Pullbacks in homotopy theory , Canad. J. Math. 28 ( 1976 ), 225 - 263 . MR 402694 | Zbl 0351.55005 · Zbl 0351.55005
[3] 3 C.B. Sp Encer , An abstract setting for homotopy pushouts and pullbacks , Cahiers Top. et Géom. Diff. XVIII - 4 ( 1977 ), 409 - 430 . Numdam | MR 486054 | Zbl 0378.18008 · Zbl 0378.18008
[4] 4 M. Walker , Homotopy pullbacks and applications to duality , Canad. J. Math. 29 ( 1977 ), 45 - 65 . MR 438329 | Zbl 0352.55014 · Zbl 0352.55014
[5] 5 M. Walker , Homotopy pullbacks and the Hopf invariant , J. London Math. Soc. ( 2 ), 19 ( 1979 ), 153 - 158 . MR 527748 | Zbl 0407.55015 · Zbl 0407.55015
[6] 6 Y.L. Wong & C.B. Spencer , Pullback and pushout squares in a special double category with connection , Typescript, Univ. of Hong-Kong . · Zbl 0519.18008
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