A note on the existence of -equivelar polyhedral maps.
A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds
We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces.
A note on the homotopical characterization of Rn.
A note on the local structure of levels of a plane vector field
A note on the location of joint discontinuity.
A note on the rank of self-dual polyhedra
A Note on the Rational Cuspidal Curves
In this short note we give an elementary combinatorial argument, showing that the conjecture of J. Fernández de Bobadilla, I. Luengo-Velasco, A. Melle-Hernández and A. Némethi [Proc. London Math. Soc. 92 (2006), 99-138, Conjecture 1] follows from Theorem 5.4 of Brodzik and Livingston [arXiv:1304.1062] in the case of rational cuspidal curves with two critical points.
A note on the wick of the Casson handles
A note on topological properties of non-Hausdorff manifolds.
A note on trignometric sums arising in gauge theory.
A note on unlinking numbers of Montesinos links.
Let K (resp. L) be a Montesinos knot (resp. link) with at least four branches. Then we show the unknotting number (resp. unlinking number) of K (resp. L) is greater than 1.
A partial order in the knot table.
A Periodic Flow with Infinite Epstein Hierarchy.
A Polish AR-Space with no Nontrivial Isotopy
The Polish space Y constructed in [vM1] admits no nontrivial isotopy. Yet, there exists a Polish group that acts transitively on Y.
A polyhedral 2-sphere which fails to be locally flat at just one point
A polynomial invariant for unoriented knots and links.
A polynomial invariant of rational homology 3-spheres.
A positional characterization of the (n-1)-dimensional Sierpiński curve in (η ≠ 4)
A problem about Feynman integrals on Riemannian manifolds
A proof of Reidemeister-Singer’s theorem by Cerf’s methods
Heegaard splittings and Heegaard diagrams of a closed 3-manifold are translated into the language of Morse functions with Morse-Smale pseudo-gradients defined on . We make use in a very simple setting of techniques which Jean Cerf developed for solving a famous pseudo-isotopy problem. In passing, we show how to cancel the supernumerary local extrema in a generic path of functions when . The main tool that we introduce is an elementary swallow tail lemma which could be useful elsewhere.