Categories of space and of quantity

The Space of Mathematics: Philosophical, Epistemological, and Historical Explorations

Volumn , Issue , 2012, Pages 14-30

  Lawvere, F William ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85065277997     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1515/9783110870299.14     Document Type: Chapter

References (18)

1. Carboni, Aurelio, “Affine Categories�?, Journal of Pure and Applied Algebra, 61 (1989) 243-250.
2. Dress, Andreas. In: Algebraic K-Theory II, Springer Lecture Notes Mathematics, 342, 1973.
3. Faro, Emilio, “Naturally Mal’cev Categories�?, to appear in Proceedings of 1990 Como International Conference on Category Theory.
4. Grassmann, Hermann, Ausdehnungslehre, 1844.
5. Grothendieck, Alexander, Pursuing Stacks (manuscript), 1983.
6. Kelly, Gregory Maxwell, Basic Concepts of Enriched Category Theory, Cambridge UP, 1982.
7. Kelly, G. M. / Lawvere, F. W., “On the Complete Lattice of Essential Localizations�?, Bulletin de la Société Mathématique de Belgique, XLI (1989) 289-319.
8. Lawvere, F. William, “Elementary Theory of the Category of Sets�?, Proceedings of the National Academy of Sciences, USA, 52 (1964) 1506-1511.
9. Lawvere, F. William, “Adjointness in Foundations�?, Dialéctica 23 (1969) 281-296.
10. Lawvere, F. William, “Metric Spaces, Generalized Logic and Closed Categories�?, Rendiconti del Seminario Matematico e Fisico di Milano 43 (1973) 135-166.
11. Lawvere, F. William, “Toward the Description in a Smooth Topos of the Dynamically Possible Motions and Deformations of a Continuous Body�?, Cahiers de Topologie et Géometrie Différentielle, XXI-4 (1980) 377-392.
12. Lawvere, F. William, “Introduction�? to Categories in Continuum Physics, Springer Lecture Notes in Mathematics 1174, 1986.
13. Lawvere, F. William, “Taking Categories Seriously�?, Revista Colombiana de Matemáticas XX (1986) 147-178.
14. Lawvere, F. William, “Categories of Spaces May Not be Generalized Spaces, as Exemplified by Directed Graphs�?, Revista Colombiana de Matemáticas XX (1986) 179-185.
15. Lawvere, F. William, “Display of Graphics and their Applications, as Exemplified by 2-Categories and the Hegelian Taco’", Proc. of the First International Conference on Algebraic Methodology and Software Technology, Univ. of Iowa, 1989.
16. Mac Lane, Saunders, “Duality for Groups�?, Bulletin of the American Mathematical Society 56 (1950) 485-516.
17. Schanuel, Stephen, “Dimension and Euler Characteristic�?, Proceedings of 1990 Como International Category Theory Meeting, Springer Lecture Notes in Mathematics 1488, 1991.
18. Thiébaud, Michel, “Modular Categories�?, Proceedings of 1990 Como International Category Theory Meeting, Springer Lecture Notes in Mathematics 1488, 1991.