The first steps -- Simplicial homology -- Beyond the simplicial setting -- Category of chain complexes -- Chain homotopy -- Connecting homomorphism -- Singular homology -- Cellular homology -- Simplicial collapses -- Organizing collapsing sequences -- Internal collapses and disc…
"Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into…
Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into …
This book provides insights into the dynamics of control systems with the integration of conceptions such as stability, controllability, attraction, and chain transitivity. It highlights the importance of Morse theory with its feature of describing the global dynamics of systems…
This book provides insights into the dynamics of control systems with the integration of conceptions such as stability, controllability, attraction, and chain transitivity. It highlights the importance of Morse theory with its feature of describing the global dynamics of systems…
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for …
Transversalité, courants et théorie de Morse
by Labourie, François, Laudenbach, François
fromMathématiques
Ce cours de topologie différentielle présente la topologie générale et le calcul différentiel dans Rn. Il étudie les objets de base attachés au concept de variété différentiable. Le but du cours est d'introduire la théorie de Morse, la formule de Stokes, le calcul dit de Lie-Car…
