On algebraic models for homotopy 3-types

On algebraic models for homotopy 3-types

Cached

Download Links

[arxiv.org]

by Z. Arvasi , E. Ulualan

Venue:	J. Homotopy Relat. Struct
Citations:	3 - 0 self

BibTeX

@ARTICLE{Arvasi_onalgebraic,
    author = {Z. Arvasi and E. Ulualan},
    title = {On algebraic models for homotopy 3-types},
    journal = {J. Homotopy Relat. Struct},
    year = {},
    pages = {2006}
}

Bookmark

OpenURL

Abstract

We explore the relations among quadratic modules, 2-crossed modules, crossed squares and simplicial groups with Moore complex of length 2.

Citations

226	Simplicial objects in algebraic topology - May - 1967
58	Spaces with finitely many non-trivial homotopy groups - Loday - 1982
56	On the 3-type of a complex - Lane, Whitehead - 1950
37	Algebraic models of 3-types and automorphism structures for crossed modules - Brown, Gilbert - 1989
31	Group-theoretic Algebraic Models for Homotopy Types - Carrasco, Cegarra - 1991
30	Higher-dimensional crossed modules and the homotopy groups of (n - Ellis - 1987
28	Simplicial methods and the interpretation of triple cohomology - Duskin
24	Modules croisés généralisés de longueur 2 - Conduché - 1984
21	Kampen theorems for diagrams of spaces - Brown, Loday - 1987
21	N-types of simplicial groups and crossed N-cubes - Porter - 1993
19	crossed modules and the fundamental groupoid of a topological group - Brown, Spencer, et al. - 1976
17	Double Loop Spaces, Braided Monoidal Categories, and Algebraic 3-type of Space - Berger - 1998
17	Obstructions à l’Excision en K-théorie Algébrique - Guin-Waléry, Loday - 1981
14	Algebraic homotopy, Cambridge - Baues - 1989
10	On the Van Kampen theorem - Artin, Mazur - 1966
10	Applications of Peiffer pairing in the Moore complex of a simplicial group - Mutlu, Porter - 1998
9	Combinatorial homotopy II - Whitehead - 1949
6	Crossed squares and combinatorial homotopy - Ellis - 1993
5	Simplicial crossed modules and mapping cones - Conduché
3	Combinatorial homotopy and 4-dimenional complexes, Walter de Gruyter - Baues - 1991
3	On the equivariant 2-type of a G-space - Bullejos, Cabello, et al. - 1998
3	Crossed squares and 2-crossed modules - Mutlu, Porter - 2003