Classification topologique des germes de formes logarithmiques génériques
On établit la classification topologique des feuilletages holomorphes de codimension 1 singuliers à l’origine de , admettant une intégrale première multiforme du type .
Classifying finite-sheeted covering mappings of paracompact spaces.
The main result of the present paper is a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. This theorem is a generalization of the classical classification theorem for covering mappings over a connected locally pathwise connected semi-locally 1-connected space in the finite-sheeted case. To achieve the result we use the classification theorem for overlay structures which was recently proved by S. Mardesic and V. Matijevic (Theorems 1 and 4 of [5]).
Classifying toposes and foliations
For any etale topological groupoid (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 .
Clifford algebra with Reduce
Climbing a Legendrian mountain range without stabilization
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
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 , then any close cohomologous form has a compact leave close to . 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...
Close PL involutions of 3-manifolds have close fixed point sets: 1-dimensional components
Close PL involutions of 3-manifolds which are conjugate by a small homeomorphism
Closed braids in 3-manifolds.
Closed curves and circle homomorphisms in groups of diffeomorphisms
Closed Curves and Geodesics with Two Self-Intersections on the Punctured Torus.
Closed Geodesics on Homogeneous Spaces.
Closed Leaves in Foliations of Codimension One.
Closed parallel 1-forms on infranilmanifolds and Calabi reductions
Closed retractions of Euclidean spaces
Closed similarity manifolds.
Clover calculus for homology 3-spheres via basic algebraic topology.
Cobordism Obstructions to Deforming Isolated Singularities.
Cobordism of algebraic knots.
Cobordism of algebraic knots via Seifert forms.