|
A uniqueness theorem for homology in $\cal C$at, the category of small categories
Author(s):
Dana May
Latch
Journal:
Bull. Amer. Math. Soc.
81
(1975),
449-452.
MSC (1970):
Primary 55B40;
Secondary 18G30, 18G10
MathSciNet review:
0382402
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- M. André, Méthode simpliciale en algèbre homologique et algèbre commutative, Lecture Notes in Math. Vol. 32, Springer-Verlag, Berlin and New York, 1967. MR 35 #5493.
- 2.
- Yuh-ching Chen, Stacks, costacks, and axiomatic homology, Trans. Amer. Math. Soc. 145 (1969), 105-116. MR 40 #3536. MR 250297
- 3.
- P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35, Springer-Verlag, New York, 1967. MR 35 #1019. MR 210125
- 4.
- O. A. Laudal, Sur les limites projectives et infectives, Ann. Sci. École. Norm. Sup. (3) 82 (1965), 241-296. MR 34 #225. MR 200326
- 5.
- J. Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357-362. MR 18, 815. MR 84138
- 6.
- J. Milnor, On axiomatic homology theory, Pacific J. Math. 12 (1962), 337-341. MR 28 #2544. MR 159327
- 7.
- U. Oberst, Homology of categories and exactness of direct limits, Math. Z. 107 (1968), 87-115. MR 39 #5662. MR 244347
- 8.
- J.-E. Roos, Sur les foncteurs dérivés de $\underleftarrowłim$. Applications, C.R. Acad. Sci. Paris 252 (1961), 3702-3704. MR 24 #A1938.
- 9.
- G. Segal, Classifying spaces and spectral sequences, Inst. Hautes Études Sci. Publ. Math. No. 34 (1968), 105-112. MR 38 #718. MR 232393
- 10.
- C. E. Watts, A homology theory for small categories, Proc. Conf. on Categorical Algebra (LaJolla, Calif. 1965), Springer, New York, 1966, pp. 331-335. MR 34 #4336. MR 204497
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1970):
55B40, 18G30, 18G10
Retrieve articles in all Journals with MSC
(1970):
55B40, 18G30, 18G10
Additional Information:
DOI:
10.1090/S0002-9904-1975-13781-5
PII:
S 0002-9904(1975)13781-5
|
