AbstractWe prove that any k-parameter family of smooth functions on a compact smooth n-manifold can be C1 approximated by a family of smooth functions having only singularities of “total codimension”⩽max(1,k−n+1)
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
22 pages, Latex file, one typo correctedLet $f$ be a Morse function on a closed manifold $M$, and $v...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
AbstractWe prove that any k-parameter family of smooth functions on a compact smooth n-manifold can ...
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, withou...
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topi...
We prove a local minimum result for a one-parameter family of C1 functionals on Finsler manifolds a...
In this Note we present a generalization of the Morse index to functionals of class C^1 defined on a...
Abstract. Kirwan identified a condition on a smooth function under which the usual techniques of Mor...
on the number of critical points of a smooth function f on Mn, taking account of the group Γ (see [1...
Abstract. In this paper, we present a smooth framework for some aspects of the “geometry of CW compl...
Let f: M → R be a Morse function on an oriented compact Riemannian manifold M. Morse theory studies ...
The Morse–Smale complex is an important tool for global topological analysis in various problems of ...
The singular homology of a compact smooth Riemannian manifold can be described by means of its Morse...
AbstractMorse theory is a powerful tool in its applications to computational topology, computer grap...
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
22 pages, Latex file, one typo correctedLet $f$ be a Morse function on a closed manifold $M$, and $v...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
AbstractWe prove that any k-parameter family of smooth functions on a compact smooth n-manifold can ...
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, withou...
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topi...
We prove a local minimum result for a one-parameter family of C1 functionals on Finsler manifolds a...
In this Note we present a generalization of the Morse index to functionals of class C^1 defined on a...
Abstract. Kirwan identified a condition on a smooth function under which the usual techniques of Mor...
on the number of critical points of a smooth function f on Mn, taking account of the group Γ (see [1...
Abstract. In this paper, we present a smooth framework for some aspects of the “geometry of CW compl...
Let f: M → R be a Morse function on an oriented compact Riemannian manifold M. Morse theory studies ...
The Morse–Smale complex is an important tool for global topological analysis in various problems of ...
The singular homology of a compact smooth Riemannian manifold can be described by means of its Morse...
AbstractMorse theory is a powerful tool in its applications to computational topology, computer grap...
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
22 pages, Latex file, one typo correctedLet $f$ be a Morse function on a closed manifold $M$, and $v...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...