Weak subobjects and weak limits in categories and homotopy categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1997)
- Volume: 38, Issue: 4, page 301-326
- ISSN: 1245-530X
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topGrandis, Marco. "Weak subobjects and weak limits in categories and homotopy categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 38.4 (1997): 301-326. <http://eudml.org/doc/91597>.
@article{Grandis1997,
author = {Grandis, Marco},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {weak pullback; weak subobject; variation; homotopy category},
language = {eng},
number = {4},
pages = {301-326},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Weak subobjects and weak limits in categories and homotopy categories},
url = {http://eudml.org/doc/91597},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Grandis, Marco
TI - Weak subobjects and weak limits in categories and homotopy categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1997
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 38
IS - 4
SP - 301
EP - 326
LA - eng
KW - weak pullback; weak subobject; variation; homotopy category
UR - http://eudml.org/doc/91597
ER -
References
top- [1] M. Barr - C.F. Wells, Toposes, triples and theories, Springer1984. Zbl0567.18001MR771116
- [2] H.J. Baues, Combinatorial homotopy and 4-dimensional complexes, de Gruyter, Berlin1991. Zbl0716.55001MR1096295
- [3] H.J. Baues, Homotopy type and homology, Oxford Science Publ, Clarendon Press, Oxford1996. Zbl0857.55001MR1404516
- [4] G. Birkhoff, Lattice Theory, Amer. Math. Soc. Coll. Publ.25, New York1948. Zbl0033.10103MR29876
- [5] A.K. Bousfield - D.M. Kan, Homotopy limits, completions and localisations, Lecture Notes in Mathematics304, Springer1972. Zbl0259.55004MR365573
- [6] A. Carboni - M. Grandis, Categories of projective spaces, J. Pure Appl. Algebra110 (1996) 241-258. Zbl0863.18006MR1393115
- [7] A. Carboni - E. Vitale, Regular and exact completions, to appear. Zbl0891.18002MR1600009
- [8] L. Coppey, Algèbres de décompositions et précatégories, Diagrammes3 (1980, supplément). Zbl0497.18015MR684912
- [9] B. Eckmann - P.J. Hilton, Unions and intersections in homotopy theory, Comm. Math. Helv.38 (1963-64), 293-307. Zbl0126.38903MR167982
- [10] P. Freyd, Representations in abelian categories, in: Proceedings of the Conference on Categorical Algebra, La Jolla1965, 95-120, Springer1966. Zbl0202.32402MR209333
- [11] P. Freyd, Stable homotopy, in: Proceedings of the Conference on Categorical Algebra, La Jolla1965, 121-176, Springer1966. Zbl0195.52901MR211399
- [12] P. Freyd, Stable homotopy II, in: Proc. Symp. Pure Maths. XVII, Amer. Math. Soc.1970, 161-183. Zbl0222.55020MR258028
- [13] P. Freyd, On the concreteness of certain categories, in: Symposia Mathematica, Vol. IV (INDAM, Roma1968/69), pp. 431-456. Academic Press, London, 1970. Zbl0248.18008MR271184
- [14] P. Freyd, Homotopy is not concrete, in: The Steenrod algebra and its applications (Battelle Memorial Inst., Columbus, Ohio, 1970), pp. 25-34, Lecture Notes in Mathematics168, Springer1970. Zbl0212.55801MR276961
- [15] P. Gabriel - M. Zisman, Calculus of fractions and homotopy theory, Springer1967. Zbl0186.56802MR210125
- [16] M. Grandis, Homotopical algebra in homotopical categories, Appl. Categ. Structures, 2 (1994), 351-406. Zbl0826.55015MR1300721
- [17] M. Grandis, Categorically algebraic foundations for homotopical algebra, Appl. Categorical Structures, to appear. Zbl0906.55015MR1478526
- [18] R.W. Kieboom, On stable homotopy monomorphisms, Appl. Categorical Structures, to appear. Zbl0873.18001MR1456520
- [19] M. Korostenski - W. Tholen, Factorisation systems as Eilenberg-Moore algebras, J. Pure Appl. Algebra85 (1993), 57-72. Zbl0778.18001MR1207068
- [20] A.G. Kurosh, The theory of groups, Chelsea Publ. Co., New York1960. Zbl0064.25104MR109842
- [21] F.W. Lawvere, Adjoints in and among bicategories, in: "Logic and Algebra", 181-189, M. Dekker, New York, 1996. Zbl0862.18002MR1404939
- [22] S. Mac Lane, Categories for the working mathematician, Springer1971. Zbl0906.18001MR1712872
- [23] M. Mather, Pull-backs in homotopy theory, Can. J. Math.28 (1976), 225-263. Zbl0351.55005MR402694
- [24] R.M. Vogt, Homotopy limits and colimits, Math. Z.134 (1973), 11-52. Zbl0276.55006MR331376
- [25] G.W. Whitehead, Elements of homotopy theory, Springer1978. Zbl0406.55001MR516508
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