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Displaying 301 – 320 of 2024

Classification of Nash manifolds

Masahiro Shiota (1983)

Annales de l'institut Fourier

A semi-algebraic analytic manifold and a semi-algebraic analytic map are called a Nash manifold and a Nash map respectively. We clarify the category of Nash manifolds and Nash maps.

Classification of overtwisted contact structures on 3-manifolds.

Y. Eliashberg (1989)

Inventiones mathematicae

Classification of riemannian flows with transverse similarity structures

Taro Asuke (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Classification of singularities with compact abelian symmetry

Gordon Wassermann (1988)

Banach Center Publications

Classification topologique des germes de formes logarithmiques génériques

Emmanuel Paul (1989)

Annales de l'institut Fourier

On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de $ℂ^{n}$ , admettant une intégrale première multiforme du type $f_{1}^{\partial_{1}}, ..., f_{p}^{\partial_{p}}$ .

Classifying toposes and foliations

Ieke Moerdijk (1991)

Annales de l'institut Fourier

For any etale topological groupoid $G$ (for example, the holonomy groupoid of a foliation), it is shown that its classifying topos is homotopy equivalent to its classifying space. As an application, we prove that the fundamental group of Haefliger for the (leaf space of) a foliation agrees with the one introduced by Van Est. We also give a new proof of Segal’s theorem on Haefliger’s classifying space $B Γ^{q}$ .

Climbing a Legendrian mountain range without stabilization

Douglas J. LaFountain, William W. Menasco (2014)

Banach Center Publications

We introduce a new braid-theoretic framework with which to understand the Legendrian and transversal classification of knots, namely a Legendrian Markov Theorem without Stabilization which induces an associated transversal Markov Theorem without Stabilization. We establish the existence of a nontrivial knot-type specific Legendrian and transversal MTWS by enhancing the Legendrian mountain range for the (2,3)-cable of a (2,3)-torus knot provided by Etnyre and Honda, and showing that elementary negative...

Close cohomologous Morse forms with compact leaves

Irina Gelbukh (2013)

Czechoslovak Mathematical Journal

We study the topology of foliations of close cohomologous Morse forms (smooth closed 1-forms with non-degenerate singularities) on a smooth closed oriented manifold. We show that if a closed form has a compact leave $γ$ , then any close cohomologous form has a compact leave close to $γ$ . Then we prove that the set of Morse forms with compactifiable foliations (foliations with no locally dense leaves) is open in a cohomology class, and the number of homologically independent compact leaves does not decrease...