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Loday, Jean-Louis

Spaces with finitely many non-trivial homotopy groups. (English) Zbl 0491.55004

J. Pure Appl. Algebra 24, 179-202 (1982).
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Cited in 27 Reviews
Cited in 132 Documents

MSC:

55P15 Classification of homotopy type
55U99 Applied homological algebra and category theory in algebraic topology
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
20J05 Homological methods in group theory

Keywords:

spaces with finitely many non-trivial homotopy groups; group cohomology; n-categorical groups; crossed module; n-simplicial group; category of fractions; n-cube-fibrations; Eilenberg-MacLane space; algebraic K-theory

Citations:

Zbl 0040.388; Zbl 0461.18007
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\textit{J.-L. Loday}, J. Pure Appl. Algebra 24, 179--202 (1982; Zbl 0491.55004)
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References:

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[10] May, J.P., Simplicial objects in algebraic topology, Van nostrand math. studies, (1967), New York · Zbl 0165.26004
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[13] Shih, W., Homologie des espaces fibrés, Publ. I.H.E.S., 13, 91-175, (1962) · Zbl 0105.16903
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