Add to ORKGTwo locally generic maps f; g:Mn ! R2n1 are regularly homotopic if they lie in the same path-component of the space of locally generic maps. Our main result is that if n 6 3 and Mn is a closed n-manifold then the regular homotopy class of every locally generic map f:Mn ! R2n1 is completely determined by the number of its singular points provided that f is singular (that is, f is not an immersion). This extends the analogous result of [4] for n 2. 1
homology 3-sphere M3 in R5. Then F bounds an embedding of an oriented manifold W 4 in R5. It is well...
AbstractWe will determine the homotopy type of the subspace Ω1,0(n,p) of J2(n,p) consisting of all 2...
First order invariants of generic immersions of manifolds of dimension nm − 1 into manifolds of dime...
AbstractIn this paper we study the global topology of special generic maps; i.e., smooth maps of clo...
AbstractLocally stable maps S3→R4 are classified up to homotopy through locally stable maps. The equ...
AbstractIn this paper we study the global topology of special generic maps; i.e., smooth maps of clo...
AbstractLet f:M→N be a proper generic map between smooth manifolds with dimN−dimM=−1. We explicitly ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
In this paper we extend Y.Eliashberg's $h$-principle to arbitrary generic smooth maps of smooth mani...
The class of special generic maps is a natural class of smooth maps containing Morse functions on sp...
The present paper finds new necessary and sufficient conditions for $6$-dimensional closed and simpl...
AbstractLet GI denote the space of all generic immersions of a surface F into a 3-manifold M. Let q(...
A major part of topology is the study of properties of topological spaces that are invariant under h...
homology 3-sphere M3 in R5. Then F bounds an embedding of an oriented manifold W 4 in R5. It is well...
homology 3-sphere M3 in R5. Then F bounds an embedding of an oriented manifold W 4 in R5. It is well...
AbstractWe will determine the homotopy type of the subspace Ω1,0(n,p) of J2(n,p) consisting of all 2...
First order invariants of generic immersions of manifolds of dimension nm − 1 into manifolds of dime...
AbstractIn this paper we study the global topology of special generic maps; i.e., smooth maps of clo...
AbstractLocally stable maps S3→R4 are classified up to homotopy through locally stable maps. The equ...
AbstractIn this paper we study the global topology of special generic maps; i.e., smooth maps of clo...
AbstractLet f:M→N be a proper generic map between smooth manifolds with dimN−dimM=−1. We explicitly ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
In this paper we extend Y.Eliashberg's $h$-principle to arbitrary generic smooth maps of smooth mani...
The class of special generic maps is a natural class of smooth maps containing Morse functions on sp...
The present paper finds new necessary and sufficient conditions for $6$-dimensional closed and simpl...
AbstractLet GI denote the space of all generic immersions of a surface F into a 3-manifold M. Let q(...
A major part of topology is the study of properties of topological spaces that are invariant under h...
homology 3-sphere M3 in R5. Then F bounds an embedding of an oriented manifold W 4 in R5. It is well...
homology 3-sphere M3 in R5. Then F bounds an embedding of an oriented manifold W 4 in R5. It is well...
AbstractWe will determine the homotopy type of the subspace Ω1,0(n,p) of J2(n,p) consisting of all 2...
First order invariants of generic immersions of manifolds of dimension nm − 1 into manifolds of dime...