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.
A proof of Tait’s Conjecture on prime alternating achiral knots
In this paper we are interested in symmetries of alternating knots, more precisely in those related to achirality. We call the following statement Tait’s Conjecture on alternating achiral knots:Let be a prime alternating achiral knot. Then there exists a minimal projection of in and an involution such that:1) reverses the orientation of ;2) ;3) ;4) has two fixed points on and hence reverses the orientation of .The purpose of this paper is to prove this statement.For the historical...
A proof of the Chern-Lashof conjecture in dimensions greater than five.