Spectra of small categories and infinite loop space machines
We show how to construct a categorical spectrum of small categories, and hence a cohomology theory, starting from a Γ-category. This extends Segal's infinite loop space machine for topological spaces to small categories. Our results form a part of Bak's program for delooping global actions...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
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2006
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 03832caa a22005057a 4500 | ||
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| 001 | PAPER-7283 | ||
| 003 | AR-BaUEN | ||
| 005 | 20250725123358.0 | ||
| 008 | 190411s2006 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-33750489091 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Minian, Elías Gabriel | |
| 245 | 1 | 0 | |a Spectra of small categories and infinite loop space machines |
| 260 | |c 2006 | ||
| 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 Bousfield, A.K., Friedlander, E.M., Homotopy theory of T-spaces, spectra and bisimplicial sets (1978) Lect. Notes Math., 658, pp. 80-130 | ||
| 504 | |a Torn Dieck, T., Kamps, K.H., Puppe, D., Homotopietheorie (1970) Lect. Notes Math., 157, pp. vi+265p | ||
| 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 Stud. Adv. Math., 19, pp. XII+326p | ||
| 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+33p | ||
| 504 | |a Lee, M.J., Homotopy for functors (1972) Proc. Amer. Math. Soc., 36, pp. 571-577 | ||
| 504 | |a May, P., Thomason, R., The uniqueness of infinite loop space machines (1978) Topology, 17, pp. 205-224 | ||
| 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) Topol. Appl., 119, pp. 41-51 | ||
| 504 | |a Minian, E.G., Loop and suspension functors for small categories and stable homotopy groups (2003) Appl. Categor. Struct., 11, pp. 207-218 | ||
| 504 | |a Minian, E.G., Numerably contractible categories (2006) K-theory, 36 (3-4), pp. 209-222 | ||
| 504 | |a Quillen, D.G., Higher algebraic K-theory I (1973) Lect. Notes Math., 341, pp. 85-147 | ||
| 504 | |a Segal, G., Classifying spaces and spectral sequences (1968) Publ. Math. Inst. des Hautes Etudes Scient., 34, pp. 105-112. , Paris | ||
| 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 show how to construct a categorical spectrum of small categories, and hence a cohomology theory, starting from a Γ-category. This extends Segal's infinite loop space machine for topological spaces to small categories. Our results form a part of Bak's program for delooping global actions, global categories, and related objects. © Springer Science+Business Media B.V. 2006. |l eng | |
| 593 | |a Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a INFINITE LOOP SPACES |
| 690 | 1 | 0 | |a SIMPLICIAL OBJECTS |
| 690 | 1 | 0 | |a SMALL CATEGORIES |
| 773 | 0 | |d 2006 |g v. 37 |h pp. 249-261 |k n. 3 |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/s10977-006-0017-0 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_09203036_v37_n3_p249_Minian |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v37_n3_p249_Minian |y Registro en la Biblioteca Digital |
| 961 | |a paper_09203036_v37_n3_p249_Minian |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 68236 | ||