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27  Articles
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Our purpose in this paper is to understand the geometry of the Poincaré compactification and to apply this technique to prove that there exists a Poincaré compactification of vector fields defined by rational functions and of vector field that are the quo... see more

Let G be a connected real semisimple Lie group with finite center and ? be a Cartan involution of G. Suppose that K is the maximal compact subgroup of G corresponding to the Cartan involution ?. The coset space X = G/K is then a Riemannian symmetric space... see more

In this paper the investigation of n-H-closed spaces that was started by Basile et al. (2019) is continued for every n ? ?, n = 2. In particular, starting with the relationship between the absolute space PX of an arbitrary topological space X, reported by... see more

To any nodal curve C one associates its degree class group, a combinatorial invariant which plays an important role in the compactification of the generalized Jacobian of C and in the construction of the Néron model of the Picard variety of families of cu... see more

The classical Jacobian Conjecture asserts that every locally invertible polynomial self-map of the complex affine space is globally invertible. A Keller map is a (hypothetical) counterexample to the Jacobian Conjecture. In dimension two every such ma... see more

The concepts of Morse decompositions and dynamic Morse  decompositions are equivalent for flows. In this paper we show that these concepts are not equivalent for Morse decompositions of semigroups of homeomorphisms on topological spaces.We give ... see more

Résumé. Nous construisons un groupe topologique compact Rl, qui contient naturellement comme sous-groupes denses à la fois le groupe additif réel R et le groupe l-adique Ql pour un premier donné l, et nous en étudio... see more

We associate to each Riemann or Klein surface with nodes a graph that classifies it up homeomorphism. We obtain that, for surfaces of genus two, there are 7 topological types of stable Riemann surfaces, 33 topological types of stable Klein surfaces and 35... see more

We analyse the potential of the e+e- collisions to search for the radion in theRandall-Sundrum model, where compactification radius of the extra dimension isstabilized by the radion, which is a scalar field lighter than the graviton Kaluza- Klein states. ... see more

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