Výsledky vyhledávání - "Ando, Yoshifumi"

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Erratum to 'Cobordisms of maps with singularities of given class'

Autor: Ando, Yoshifumi

We correct the proof in the unoriented case of Theorem 1.2 in the paper "Cobordisms of maps with singularities of given class"

Externí odkaz: http://arxiv.org/abs/0911.1588

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Cobordisms of maps with singularities of a given class

Autor: Ando, Yoshifumi

Let P be a connected smooth p-manifold. We describe the group of all cobordism classes of smooth maps of n-manifolds to P with singularities of a given $cal K$-invariant class in terms of certain stable homotopy groups by applying the relative homoto

Externí odkaz: http://arxiv.org/abs/0707.4329

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Smooth maps with singularities of bounded K-codimensions

Autor: Ando, Yoshifumi

We will prove the relative homotopy principle for smooth maps with singularities of a given {\cal K}-invariant class with a mild condition. We next study a filtration of the group of homotopy self-equivalences of a given manifold P by considering sin

Externí odkaz: http://arxiv.org/abs/0704.0115

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Cobordisms of maps without prescribed singularities

Autor: Ando, Yoshifumi

Let $N$ and $P$ be smooth closed manifolds of dimensions $n$ and $p$ respectively. Given a Thom-Boardman symbol $I$, a smooth map $f:N\to P$ is called an $\Omega^{I}$-regular map if and only if the Thom-Boardman symbol of each singular point of $f$ i

Externí odkaz: http://arxiv.org/abs/math/0412234

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The homotopy principle in the existence level for maps with only singularities of types A, D and E

Autor: Ando, Yoshifumi

Let N and P be smooth manifolds of dimensions n and p (n \geq p \geq 2) respectively. Let \Omega(N,P) denote an open subspace of J^{infty}(N,P) which consists of all regular jets and jets with prescribed singularities of types A_{i}, D_{j} and E_{k}.

Externí odkaz: http://arxiv.org/abs/math/0411399

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A homotopy principle for maps with prescribed Thom-Boardman singularities

Autor: Ando, Yoshifumi

Publikováno v: Published in Transaction of the American Mathematical Society, 359(2007), 489-515

Let N and P be smooth manifolds of dimensions n and p (n>=p>=2). Let Omega^{I}(N,P) denote an open subspace of J(N,P) which consists of all Boardman submanifolds Sigma^{J}(N,P) with J=< I in the lexicographic order. We will prove the homotopy princip

Externí odkaz: http://arxiv.org/abs/math/0309204

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Existence theorems of fold-maps

Autor: Ando, Yoshifumi

Publikováno v: Japanese Journal of Mathematics, 30(2004), 29-73

A smooth map having only fold singularities is called a fold-map. We will give effective conditions for a continuous map to be homotopic to a fold-map from the viewpoint of the homotopy principle.

Externí odkaz: http://arxiv.org/abs/math/0309141

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