Synthetic Differential Topology by Ana Luis
This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of topos theory and synthetic differential geometry necessary for the remainder, this clear and comprehensive text covers the general theory of synthetic differential topology and several applications of it to classical mathematics, including the calculus of variations, Mather's theorem, and Morse theory on the classification of singularities. The book represents the state of the art in synthetic differential topology and will be of interest to researchers in topos theory and to mathematicians interested in the categorical foundations of differential geometry and topology.-
Introduction to Hidden Semi-Markov Models
-
Partial Differential Equations and Fluid Mechanics
-
Linear Logic in Computer Science
-
Complexity Science
-
Groups
-
L-Functions and Galois Representations
-
Groups and Analysis
-
Singularities and Computer Algebra
-
Recent Advances in Hodge Theory
-
Integrable Systems and Algebraic Geometry: Volume 2
-
Kleinian Groups and Hyperbolic 3-Manifolds
-
Combinatorics
-
Some Topics in Graph Theory
- Modulated Quivers, Semi-invariant Pictures and Picture Groups
-
Groups St Andrews 2013
-
Groups St Andrews 2017 in Birmingham
-
Surveys in Contemporary Mathematics
-
Multifunctorial Equivariant Algebraic K-Theory
-
Spectra of Signed Graphs
-
Surveys in Combinatorics 2026
-
The Geometry of Jet Bundles
-
C<sup>∞</sup>-Algebraic Geometry with Corners
-
Transcendental Dynamics and Complex Analysis
-
Topics in Number Theory
-
Groups St Andrews 2001 in Oxford: Volume 2
-
Topics in Graph Automorphisms and Reconstruction
-
Mathematical Aspects of Fluid Mechanics
-
Finite von Neumann Algebras and Masas
-
Evolution Equations
-
Auslander-Buchweitz Approximations of Equivariant Modules
-
Model Theory with Applications to Algebra and Analysis: Volume 1
-
Integrable Systems and Algebraic Geometry: Volume 1
-
Non-equilibrium Statistical Mechanics and Turbulence
-
Partial Differential Equations in Fluid Mechanics
-
Geometry in a Frechet Context
-
Ranks of Elliptic Curves and Random Matrix Theory
-
Non-abelian Fundamental Groups and Iwasawa Theory
-
The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
-
Topological Methods in Group Theory
-
Optimal Transport
-
Entropy of Hidden Markov Processes and Connections to Dynamical Systems
-
An Introduction to Galois Cohomology and its Applications
-
Dense Sphere Packings
-
Surveys in Combinatorics 2019
-
O-Minimality and Diophantine Geometry
-
Topics in Dynamics and Ergodic Theory
San Luis, Ana Mar�a: - Ana Mar�a San Luis is Professor of Mathematics at the University of Oviedo, Spain.
| SKU | Unavailable |
| ISBN 13 | 9781108447232 |
| ISBN 10 | 1108447236 |
| Title | Synthetic Differential Topology |
| Author | Ana Luis |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2018-03-29 |
| Number of pages | 232 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |