From a geometrical point of view a study of the history and philosophy of category theory
From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomeno...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Dordrecht ; London :
Springer
c2009.
|
| Edición: | 1st ed. 2009. |
| Colección: | Logic, epistemology and the unity of science (Online) ;
14. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009450593806719 |
Tabla de Contenidos:
- Category Theory and Klein’s Erlangen Program
- Introducing Categories, Functors and Natural Transformations
- Categories as Spaces, Functors as Transformations
- Discovering Fundamental Categorical Transformations: Adjoint Functors
- Adjoint Functors: What They are, What They Mean
- Invariants in Foundations: Algebraic Logic
- Invariants in Foundations: Geometric Logic
- Conclusion.
