In a previous paper, under the assumption that the Riemannian metric is special, the author proved some results about the moduli spaces and CW structures arising from Morse theory. By virtue of topological equivalence, this paper extends those results by dropping the assumption on the metric. In particular, we give a strong solution to the following classical question: Does a Morse function on a compact Riemannian manifold gives rise to a CW decomposition that is homeomorphic to the manifold?Comment: Final versio
In this dissertation, we study the moduli spaces and CW Structures arising from Morse theory. Suppos...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
In this paper, we construct cochain complexes generated by the cohomology of critical manifolds in t...
Abstract. In a previous paper, under the assumption that the Riemannian metric is special, the autho...
22 pages, Latex file, one typo correctedLet $f$ be a Morse function on a closed manifold $M$, and $v...
Morse homology were developed during the rst half of the twentieth century. The underlying idea and...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
Abstract. This paper proves some results on negative gradient dynamics of Morse functions on Hilbert...
Topology change is considered to be a necessary feature of quantum gravity by some authors, and impo...
Morse theory is based on the idea that a smooth function on a manifold yields data about the topolog...
Morse theory is an extremely versatile tool, useful in a variety of situations and parts of topology...
International audienceGiven a compact smooth manifold $M$ with non-empty boundary and a Morse functi...
Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, ...
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
Some results obtained by Harvey-Lawson Jr in the Morse-Stokes and Stokes Theorem article will be ada...
In this dissertation, we study the moduli spaces and CW Structures arising from Morse theory. Suppos...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
In this paper, we construct cochain complexes generated by the cohomology of critical manifolds in t...
Abstract. In a previous paper, under the assumption that the Riemannian metric is special, the autho...
22 pages, Latex file, one typo correctedLet $f$ be a Morse function on a closed manifold $M$, and $v...
Morse homology were developed during the rst half of the twentieth century. The underlying idea and...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
Abstract. This paper proves some results on negative gradient dynamics of Morse functions on Hilbert...
Topology change is considered to be a necessary feature of quantum gravity by some authors, and impo...
Morse theory is based on the idea that a smooth function on a manifold yields data about the topolog...
Morse theory is an extremely versatile tool, useful in a variety of situations and parts of topology...
International audienceGiven a compact smooth manifold $M$ with non-empty boundary and a Morse functi...
Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, ...
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
Some results obtained by Harvey-Lawson Jr in the Morse-Stokes and Stokes Theorem article will be ada...
In this dissertation, we study the moduli spaces and CW Structures arising from Morse theory. Suppos...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
In this paper, we construct cochain complexes generated by the cohomology of critical manifolds in t...