Numerably contractible categories
We develop the notion of numerably contractible category and use it for describing conditions when a homotopy associative H-category has a homotopy inverse. We prove that complex categories are numerably contractible. The results play a role in Bak's program for constructing delooping machines...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2005
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| 100 | 1 | |a Minian, Elías Gabriel | |
| 245 | 1 | 0 | |a Numerably contractible categories |
| 260 | |c 2005 | ||
| 270 | 1 | 0 | |m Minian, E.G.; Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina; email: gminian@dm.uba.ar |
| 504 | |a Conduché, F., Au sujet de l'existence d'adjoints á droite aux foncteurs image réciproque dans la catégorie des catégories (1972) C.R. Acad. Sci. Paris, 275, pp. 891-894 | ||
| 504 | |a Tom Dieck, T., Kamps, K.H., Puppe, D., Homotopietheorie (1970) Lecture Notes in Math., 157, pp. vi+265 | ||
| 504 | |a Dold, A., Partitions of unity in the theory of fibrations (1963) Ann. Math., 78, pp. 223-255 | ||
| 504 | |a Fritsch, R., Piccinini, R.A., Cellular structures in topology (1990) Cambridge Studies in Advanced Mathematics, 19, pp. XII+362 | ||
| 504 | |a Hoff, G., Catégories fibrées et homotopie (1974) C.R. Acad. Sci. Paris, 278, pp. 223-225 | ||
| 504 | |a Hoff, G., Introduction à l'homotopie dans Cat (1975) Esquisses Mathématiques, 23, pp. i+33 | ||
| 504 | |a Lee, M.J., Homotopy for functors (1972) Proc. Amer. Math. Soc., 36, pp. 571-577 | ||
| 504 | |a Minian, E.G., Generalized cofibration categories and global actions (2000) K-Theory, 20, pp. 37-95 | ||
| 504 | |a Minian, E.G., Cat as a Lambda-cofibration category (2002) J. Pure Appl. Algebra, 167, pp. 301-314 | ||
| 504 | |a Minian, E.G., Complexes in cat (2002) Topology Appl., 119, pp. 41-51 | ||
| 504 | |a Minian, E.G., Loop and suspension functors for small categories and stable homotopy groups (2003) Appl. Categorical Struct., 11, pp. 207-218 | ||
| 504 | |a Minian, E.G., (2003) Spectra of Small Categories and Infinite Loop Space Machines, , Preprint | ||
| 504 | |a Segal, G., Categories and cohomology theories (1974) Topology, 13, pp. 293-312 | ||
| 504 | |a Thomason, R.W., Cat as a closed model category (1980) Cahiers Topo. et Géom. Diff., 21 (3), pp. 305-324 | ||
| 506 | |2 openaire |e Política editorial | ||
| 520 | 3 | |a We develop the notion of numerably contractible category and use it for describing conditions when a homotopy associative H-category has a homotopy inverse. We prove that complex categories are numerably contractible. The results play a role in Bak's program for constructing delooping machines for global actions, small categories and related objects. © Springer 2006. |l eng | |
| 593 | |a Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a CW-COMPLEXES |
| 690 | 1 | 0 | |a H-SPACES |
| 690 | 1 | 0 | |a SMALL CATEGORIES |
| 773 | 0 | |d 2005 |g v. 36 |h pp. 209-222 |k n. 3-4 |p K-Theory |x 09203036 |w (AR-BaUEN)CENRE-363 |t K-Theory | |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/s10977-006-7103-1 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_09203036_v36_n3-4_p209_Minian |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v36_n3-4_p209_Minian |y Registro en la Biblioteca Digital |
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