AbstractIn this paper we study the relation between the topology of the set R(f) of regular points and the topology of its image f(R(f)), for some special maps f:M→N acting between two manifolds M and N. The results are oriented towards negative examples for the inverse problem of deciding whether a given closed subset of the source manifold is a critical set
International audienceIn this work we compare the semialgebraic subsets that are images of regulous ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
78 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1971.U of I OnlyRestricted to the U...
AbstractIn this paper we study the global topology of special generic maps; i.e., smooth maps of clo...
summary:The closures of the pre-images associated with families of mappings in different topologies ...
AbstractIn this paper the isotopy group of embeddings of an orientable closed manifold M in the real...
Two locally generic maps f; g:Mn ! R2n1 are regularly homotopic if they lie in the same path-compone...
Suppose that X and Y are surfaces of finite topological type, where X has genus g ≥ 6 and Y has genu...
AbstractIn this paper we will study the condition on dimension n under which there exist closed n-ma...
AbstractLet S+n denote the n-sphere with a disjoint basepoint. We give conditions ensuring that a ma...
Abstract. Let X be a compact nonsingular real algebraic variety and let Y be either the blowup of Pn...
Let f: M → N be a map between simply connected n-dimensional manifolds. We suppose that deg f ≠ 0. T...
AbstractA strong regularity condition is given which generalizes the notion of a completely regular ...
International audienceIn this work we compare the semialgebraic subsets that are images of regulous ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
International audienceIn this work we compare the semialgebraic subsets that are images of regulous ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
78 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1971.U of I OnlyRestricted to the U...
AbstractIn this paper we study the global topology of special generic maps; i.e., smooth maps of clo...
summary:The closures of the pre-images associated with families of mappings in different topologies ...
AbstractIn this paper the isotopy group of embeddings of an orientable closed manifold M in the real...
Two locally generic maps f; g:Mn ! R2n1 are regularly homotopic if they lie in the same path-compone...
Suppose that X and Y are surfaces of finite topological type, where X has genus g ≥ 6 and Y has genu...
AbstractIn this paper we will study the condition on dimension n under which there exist closed n-ma...
AbstractLet S+n denote the n-sphere with a disjoint basepoint. We give conditions ensuring that a ma...
Abstract. Let X be a compact nonsingular real algebraic variety and let Y be either the blowup of Pn...
Let f: M → N be a map between simply connected n-dimensional manifolds. We suppose that deg f ≠ 0. T...
AbstractA strong regularity condition is given which generalizes the notion of a completely regular ...
International audienceIn this work we compare the semialgebraic subsets that are images of regulous ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
International audienceIn this work we compare the semialgebraic subsets that are images of regulous ...
We study the problem of representing homotopy classes of maps between real algebraic varieties of re...
78 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1971.U of I OnlyRestricted to the U...