no. 4
Free crossed resolutions from simplicial resolutions with given CW-basis
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 40 (1999) no. 4, pp. 261-283. 
@article{CTGDC_1999__40_4_261_0,
     author = {Mutlu, A. and Porter, T.},
     title = {Free crossed resolutions from simplicial resolutions with given $CW$-basis},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {261--283},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {40},
     number = {4},
     year = {1999},
     mrnumber = {1734246},
     zbl = {0947.18007},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_1999__40_4_261_0/}
}
TY  - JOUR
AU  - Mutlu, A.
AU  - Porter, T.
TI  - Free crossed resolutions from simplicial resolutions with given $CW$-basis
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 1999
SP  - 261
EP  - 283
VL  - 40
IS  - 4
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_1999__40_4_261_0/
LA  - en
ID  - CTGDC_1999__40_4_261_0
ER  - 
%0 Journal Article
%A Mutlu, A.
%A Porter, T.
%T Free crossed resolutions from simplicial resolutions with given $CW$-basis
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 1999
%P 261-283
%V 40
%N 4
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_1999__40_4_261_0/
%G en
%F CTGDC_1999__40_4_261_0
Mutlu, A.; Porter, T. Free crossed resolutions from simplicial resolutions with given $CW$-basis. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 40 (1999) no. 4, pp. 261-283. http://www.numdam.org/item/CTGDC_1999__40_4_261_0/

[1] M. André, Homologie des Algèbre Commutatives, Lecture Notes in Math., Springer, 206, (1970). | MR | Zbl

[2] N. Ashley, Simplicial T.-Complexes: a non abelian version of a theorem of Dold-Kan, Dissertationes Math., 165, (1988), 11-58, Ph.D. Thesis, University of Wales, Bangor, (1978). | Zbl

[3] H.J. Baues, Algebraic Homotopy, Cambridge Studies in Advanced Mathematics, 15, Cambridge Univ. Press., (1989), 450 pages. | MR | Zbl

[4] R. Brown, M. Golasi, T. Porter, and A. Tonks, Spaces of maps into classifying spaces for equivariant crossed complexes, Indag. Mathem., N.S. 8(2), (1997), 157-172. | MR | Zbl

[5] R. Brown and P.J. Higgins, Colimit-theorems for relative homotopy groups, Jour. Pure Appl. Algebra, 22, (1981), 11-41. | MR | Zbl

[6] R. Brown and P.J. Higgins, Homotopies and tensor products for ω-groupoids and crossed complexes, Jour. Pure Appl. Algebra, 47, (1987), 1-33. | Zbl

[7] R. Brown and J. Huesbschmann, Identities among relations, Low dimension topology, London Math. Soc. Lecture Note Series, 48, (ed. R. Brown and T. L. Thickstun, Cambridge University Press) 1982, pp. 153-202. | MR | Zbl

[8] R. Brown and J.-L. Loday, Van Kampen Theorems for Diagram of Spaces, Topology, 26, (1987), 311-335. | MR | Zbl

[9] R.A. Brown, Generalized Group Presentations and Formal Deformations of CW complexes, Trans. Amer. Math. Soc. 334, (1992), 519-549. | MR | Zbl

[10] P. Carrasco, Complejos Hipercruzados, Cohomologia y Extensiones, Ph.D. Thesis, Universidad de Granada, (1987).

[11] P. Carrasco and A.M. Cegarra, Group-theoretic Algebraic Models for Homotopy Types, Jour. Pure Appl. Algebra, 75, (1991), 195-235. | MR | Zbl

[12] D. Conduché, Modules Croisés Généralisés de Longueur 2, Jour. Pure Appl. Algebra, 34, (1984), 155-178. | MR | Zbl

[13] E.B. Curtis, Simplicial Homotopy Theory, Advances in Math., 6, (1971), 107-209. | MR | Zbl

[14] P.J. Ehlers and T. Porter, Varieties of Simplicial Groupoids, I: Crossed Complexes. Jour. Pure Appl. Algebra, 120, (1997), 221-233; plus: Correction, same journal (to appear). | MR | Zbl

[15] D.M. Kan, A relation between CW-complexes and free c.s.s groups, Amer. Jour. Maths., 81, (1959), 512-528. | MR | Zbl

[16] F. Keune, Homotopical Algebra and Algebraic K-theory, Thesis, Universiteit van Amsterdam, 1972.

[17] J.P. May, Simplicial Objects in Algebraic Topology, Van Nostrand, Math. Studies, 11, (1967). | MR | Zbl

[18] J.C. Moore, Seminar in Algebraic Homotopy, Princeton, (1956). | Zbl

[19] A. Mutlu, Peiffer Pairings in the Moore Complex of a Simplicial Group, Ph.D. Thesis, University of Wales, Bangor, (1997); Bangor Preprint, 97.11, available via http://www.bangor.ac.uk/ma/research/preprints/97prep.html

[20] A. Mutlu and T. Porter, Iterated Peiffer pairings in the Moore complex of a simplicial group, Applied Categorical Structures (to appear); (1997), Bangor Preprint, 97.12, available via http://www.bangor.ac.uk/ma/research/preprints/97prep.html | MR | Zbl

[21] A. Mutlu and T. Porter, Applications of Peiffer pairings in the Moore complex of a simplicial group, Theory and Applications of Categories, 4, No. 7, (1998) 148-173; previously as Bangor. Preprint 97.17. available via http://www.bangor.ac.uk/ma/research/preprints/97prep.htmt. | MR | Zbl

[22] A. Mutlu and T. Porter, Freeness Conditions for 2-Crossed Modules and Complexes, Theory and Applications of Categories, 4, No.8, (1998) 174-194; previously as Bangor Preprint 97.19. available via http://www.bangor.ac.uk/ma/research/preprints/97prep.htm). | MR | Zbl

[23] T. Porter, n-Types of simplicial groups and crossed n-cubes, Topology, 32, (1993), 5-24. | MR | Zbl

[24] D. Quillen, Homotopical Algebra, Lecture Notes in Math., Springer, 43, (1967). | MR | Zbl

[25] A.P. Tonks, Theory and Applications of crossed complexes, Ph.D. Thesis, University of Wales, Bangor, (1993).

[26] J.H.C. Whitehead, Combinatorial Homotopy I and II, Bull. Amer. Math. Soc., 55, (1949), 231-245 and 453-496. | MR | Zbl