New types of almost countable dense homogeneous space.
New types of continuous linear operator in probabilistic normed space.
New versions of the Fan-Browder fixed point theorem and existence of economic equilibria.
New versions on Nikaidô's coincidence theorem
In 1959, Nikaidô established a remarkable coincidence theorem in a compact Hausdorff topological space, to generalize and to give a unified treatment to the results of Gale regarding the existence of economic equilibrium and the theorems in game problems. The main purpose of the present paper is to deduce several generalized key results based on this very powerful result, together with some KKM property. Indeed, we shall simplify and reformulate a few coincidence theorems on acyclic multifunctions,...
Nice spaces; nice maps
Nielsen type numbers of self-maps on the real projective plane.
Nielsen zeta function, 3-manifolds, and asymptotic expansions in Nielsen theory.
Nilpotent and recursive flows.
Nilsystèmes d’ordre 2 et parallélépipèdes
En topologie dynamique, une famille classique de systèmes est celle formée par les rotations minimales. La classe des nilsystèmes et de leurs limites projectives en est une extension naturelle. L’étude de ces systèmes est ancienne mais connaît actuellement un renouveau à cause de ses applications, à la fois à la théorie ergodique et en théorie additive des nombres. Les rotations minimales sont caractérisées par le fait que la relation de proximalité régionale est l’égalité. Nous introduisons une...
n-movable compacta and ANR-systems
No arc-connected treelike continuum is the 2-to-1 image of a continuum
In 1940, O. G. Harrold showed that no arc can be the exactly 2-to-1 continuous image of a metric continuum, and in 1947 W. H. Gottschalk showed that no dendrite is a 2-to-1 image. In 2003 we show that no arc-connected treelike continuum is the 2-to-1 image of a continuum.
No hedgehog in the product?
Assuming OCA, we shall prove that for some pairs of Fréchet -spaces , the Fréchetness of the product implies that is . Assuming MA, we shall construct a pair of spaces satisfying the assumptions of the theorem.
No upper bound for cardinalities of Tychonoff C.C.C. spaces with a -diagonal exists (an answer to J. Ginsburg and R. G. Woods’ question)
Non Archimedean metric induced fuzzy uniform spaces.
Non existence de relèvement pour certaines mesures finiement additives et retractés de ...N.
Non--spaces
Non standard metric products.
Non-abelian group structure on the Urysohn universal space
We prove that there exists a non-abelian group structure on the Urysohn universal metric space. More precisely, we introduce a variant of the Graev metric that enables us to construct a free group with countably many generators equipped with a two-sided invariant metric that is isometric to the rational Urysohn space. We list several related open problems.
Non-accessible points in extremally disconnected compact spaces I
Non-additivity of the fixed point property for tree-like continua
We investigate the fixed point property for tree-like continua that are unions of tree-like continua. We obtain a positive result if finitely many tree-like continua with the fixed point property have dendrites for pairwise intersections. Using Bellamy's seminal example, we define (i) a countable wedge X̂ of tree-like continua, each having the fpp, and X̂ admitting a fixed-point-free homeomorphism, and (ii) two tree-like continua H and K such that H, K, and H∩ K have the fixed point property, but...