Categories for the Working Mathematician (CWM) is a textbook in category theory written by American mathematician Saunders Mac Lane, who cofounded the...
4 KB (390 words) - 06:54, 11 October 2024
is again isomorphic to C. Mac Lane, Saunders (1998). Categories for the Working Mathematician. Graduate Texts in Mathematics. Vol. 5 (2nd ed.). Springer-Verlag...
5 KB (755 words) - 15:45, 11 April 2025
Introduction to Categories, Cambridge University Press, ISBN 0-521-47249-0. Mac Lane, Saunders (1998), Categories for the Working Mathematician, Graduate Texts...
21 KB (2,525 words) - 18:54, 19 March 2025
Lawvere metrics, and closed categories)". Annoying Precision. Lane, S. Mac (1988). Categories for the working mathematician (1st ed.). New York: Springer-Verlag...
14 KB (2,401 words) - 21:09, 27 March 2025
Exponential object (redirect from Exponential (category theory))
finite products and exponential objects are called cartesian closed categories. Categories (such as subcategories of Top) without adjoined products may still...
8 KB (1,143 words) - 18:49, 9 October 2024
Type of category in category theory Limits and colimits in an ∞-category Mac Lane, Saunders (1998). Categories for the Working Mathematician. Graduate...
27 KB (4,333 words) - 16:33, 22 June 2025
Kan extension (category Category theory)
In Categories for the Working Mathematician Saunders Mac Lane titled a section "All Concepts Are Kan Extensions", and went on to write that The notion...
9 KB (1,506 words) - 14:53, 6 June 2025
22. ISBN 0-521-44178-1. Product category at the nLab Mac Lane, Saunders (1978). Categories for the Working Mathematician (Second ed.). New York, NY: Springer...
3 KB (323 words) - 11:46, 11 May 2023
(1945) The first paper on category theory. Mac Lane later wrote in Categories for the Working Mathematician that he and Eilenberg introduced categories so...
97 KB (10,426 words) - 21:11, 1 June 2025
acting on sets Section VII.3 in Mac Lane, Saunders (1988). Categories for the working mathematician (4th corr. print. ed.). New York: Springer-Verlag. ISBN 0-387-90035-7...
5 KB (511 words) - 22:41, 17 March 2025
of categories Mac Lane (1971), p. 15 Jacobson (2009), p. 22 Mac Lane (1971), p. 14 Mac Lane, Saunders (September 1998). Categories for the Working Mathematician...
4 KB (571 words) - 13:33, 4 October 2024
Adjoint functors (redirect from Unit (category theory))
from Latin via French. In the classic text Categories for the Working Mathematician, Mac Lane makes a distinction between the two. Given a family φ c d...
64 KB (10,260 words) - 08:58, 28 May 2025
Mathematics, EMS Press, 2001 [1994] Mac Lane, Saunders (1978). Categories for the Working Mathematician (Second ed.). New York, NY: Springer New York. p. 33. ISBN 1441931236...
5 KB (753 words) - 01:33, 3 June 2025
for the Working Mathematician (Second ed.). New York, NY: Springer New York. p. 33. ISBN 1441931236. OCLC 851741862. Awodey, Steve (2010). Category theory...
5 KB (619 words) - 08:01, 2 May 2025
In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two categories that establishes that these categories...
14 KB (1,986 words) - 16:35, 23 March 2025
also refer to a category with a monoidal-category action. The categories of left and right modules are abelian categories. These categories have enough projectives...
4 KB (484 words) - 08:11, 19 June 2025
Yoneda lemma (category Lemmas in category theory)
(Contravariant Yoneda lemma). Mac Lane, Saunders (1998). Categories for the working mathematician. Graduate Texts in Mathematics. Vol. 5 (2 ed.). New York...
20 KB (3,448 words) - 09:53, 27 May 2025
Functor (redirect from Covariance (categories))
Saunders (1971), Categories for the Working Mathematician, New York: Springer-Verlag, p. 30, ISBN 978-3-540-90035-1 Carnap, Rudolf (1937). The Logical Syntax...
24 KB (3,550 words) - 22:28, 25 April 2025
Sankappanavar. ISBN 978-0-9880552-0-9. Mac Lane, Saunders (1971). Categories for the Working Mathematician. Graduate Texts in Mathematics. Vol. 5. Springer. Exercise...
34 KB (4,195 words) - 05:45, 23 April 2025
Lane (1978). Categories for the Working Mathematician (2nd ed.). Springer. ISBN 1441931236. OCLC 851741862. "cartesian closed category in nLab". ncatlab...
18 KB (2,611 words) - 01:50, 26 March 2025
Press, ISBN 978-0-521-53361-4 Mac Lane, Saunders (1998), Categories for the working mathematician (2nd ed.), Springer, ISBN 978-0-387-98403-2 Scott, Dana...
9 KB (1,051 words) - 23:22, 5 March 2025
theorem" for categories. Monoids and groups may be regarded as categories with one object. In this case the quotient category coincides with the notion of...
5 KB (734 words) - 14:00, 5 June 2023
and the Foundations of Modern Mathematics". CNRS News. Retrieved 2025-01-26. Mac Lane, Saunders (2010). Categories for the working mathematician. Graduate...
4 KB (431 words) - 21:44, 26 January 2025
Coherency (homotopy theory) (redirect from Coherence (category theory))
Mac Lane, Saunders (1971). "7. Monoids §2 Coherence". Categories for the working mathematician. Graduate texts in mathematics. Vol. 4. Springer. pp. 161–165...
13 KB (1,542 words) - 02:29, 30 June 2025
Verlag, 1972. Exposé I, 2.7. Mac Lane, Saunders (1998), Categories for the Working Mathematician (2nd ed.), Berlin, New York: Springer-Verlag, ISBN 978-0-387-98403-2...
4 KB (711 words) - 02:41, 16 May 2025
ISBN 978-0-691-14049-0. MR 2522659. Mac Lane, Saunders (1998). Categories for the Working Mathematician. Graduate Texts in Mathematics. Vol. 5 (2nd ed.). Springer-Verlag...
34 KB (3,910 words) - 12:43, 19 June 2025
called the connected components of J. Each connected component is a full subcategory of J. Mac Lane, Saunders (1998). Categories for the Working Mathematician...
2 KB (255 words) - 05:10, 26 January 2025
ISBN 978-0-387-95385-4, MR 1878556 Mac Lane, Saunders (1998). Categories for the Working Mathematician. Graduate Texts in Mathematics. Vol. 5 (2nd ed.). Springer...
6 KB (765 words) - 18:30, 16 May 2025
ISBN 978-0-521-59718-0. Mac Lane, Saunders (25 September 1998). Categories for the Working Mathematician. Springer Science & Business Media. ISBN 978-0-387-98403-2...
8 KB (962 words) - 11:47, 12 April 2025
1998). Categories for the Working Mathematician. Graduate Texts in Mathematics. Vol. 5. Springer. ISBN 0-387-98403-8. Pareigis, Bodo (1970), Categories and...
9 KB (1,179 words) - 23:17, 14 May 2025