Crossed modules in Cat and a Brown-Spencer theorem for 2-categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 26 (1985) no. 4, pp. 381-388.
@article{CTGDC_1985__26_4_381_0,
     author = {Porter, Timothy},
     title = {Crossed modules in $Cat$ and a {Brown-Spencer} theorem for $2$-categories},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {381--388},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {26},
     number = {4},
     year = {1985},
     mrnumber = {816647},
     zbl = {0575.18006},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_1985__26_4_381_0/}
}
TY  - JOUR
AU  - Porter, Timothy
TI  - Crossed modules in $Cat$ and a Brown-Spencer theorem for $2$-categories
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 1985
SP  - 381
EP  - 388
VL  - 26
IS  - 4
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://archive.numdam.org/item/CTGDC_1985__26_4_381_0/
LA  - en
ID  - CTGDC_1985__26_4_381_0
ER  - 
%0 Journal Article
%A Porter, Timothy
%T Crossed modules in $Cat$ and a Brown-Spencer theorem for $2$-categories
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 1985
%P 381-388
%V 26
%N 4
%I Dunod éditeur, publié avec le concours du CNRS
%U http://archive.numdam.org/item/CTGDC_1985__26_4_381_0/
%G en
%F CTGDC_1985__26_4_381_0
Porter, Timothy. Crossed modules in $Cat$ and a Brown-Spencer theorem for $2$-categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 26 (1985) no. 4, pp. 381-388. http://archive.numdam.org/item/CTGDC_1985__26_4_381_0/

1 R. Brown, Higher dimensional group theory, London Math. Soc. Lecture Notes 48, 1982, Cambridge Univ. Press. | MR | Zbl

2 R. Brown& P.J. Higgins, On the connection between the second relative homotopy groups of some related spaces, Proc. London Math. Soc. (3) 36 (1978), 193-212. | MR | Zbl

3 R. Brown & J. Huebschmann, Identities among the relations, London Math. Soc. Lecture Notes 48, 1982, Cambridge Univ. Press. | MR | Zbl

4 R. Brown & C.B. Spencer, G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Kon. Ned. Akad. v. Wet. 79 (1976), 296-302. | MR | Zbl

5 R. Brown & C.B. Spencer, Double groupoids and crossed modules, Cahiers Top. et Géom. Diff. XVII-4 (1976), 343-362. | EuDML | Numdam | MR | Zbl

6 C. Ehresmann, Oeuvres complètes et commentées, Part III-2, Amiens 1980. (Papers /70/, p. 439; /73/, p. 447; /74/, p. 451; /84/, p. 463; /91/, p. 531; and Comments p. 780 and 845.)

7 M. Gerstenhaber, A uniform cohomology theory for algebras, Proc. Nat. Acad. Sci. 51 (1964), 627-629. | MR | Zbl

8 G. Hoff, On the cohomology of categories, Rend. Mate. (2) 7 (1974), 169-192. | MR | Zbl

9 D. Holt, An interpretation of the cohomology groups Hn(G, M), J. Alg. 60 (1979), 307-320. | MR | Zbl

11 J. Huebschmann, Group extensions, crossed pairs and an eight term exact sequence, J. Reine angew. Math. 321 (1981), 150-172. | MR | Zbl

12 C.U. Jensen, Les foncteurs dérivés de lim et leurs applications en théorie des modules, Lecture Notes in Math. 254, Springer (1972). | MR | Zbl

13 R. Lavendhomme& J.R. Roisin, Cohomologie non-abélienne de structures algébriques, J. Alg. 67 (1980), 385-414. | MR | Zbl

14 W.R. Nico, Categorical extension theory of monoids, Preprint Tulane Univ. 1978.

15 C.B. Spencer, An abstract setting for homotopy pushouts and pullbacks, Cahiers Top. et Géom. Diff. XVIII-4 (1977) 409-429. | Numdam | MR | Zbl

16 C. Wells, Extension theories for categories, (preliminary Report) Case Western Reserve University, June 1979.