Jordan's curve theorem.
Kannan fixed point theorem on generalized metric spaces.
Kannan-type cyclic contraction results in -Menger space
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of -norm in our theorems. In our first theorem we use a Hadzic-type -norm. We use the minimum -norm in our second theorem. We prove our second theorem by different arguments than the first theorem. A control function is used in our second theorem. These results generalize some existing results in probabilistic 2-metric spaces. Our results are illustrated with an example....
Killing vectors and geodesic flow vectors on tangent bundles.
KKM maps and variational inequalities
Kneading theory for a family of circle maps with one discontinuity.
Kurepa's Hypothesis and a Problem of Ulam on Families of Measures.
-groups versus -groups
We investigate free groups over sequential spaces. In particular, we show that the free -group and the free sequential group over a sequential space with unique limits coincide and, barred the trivial case, their sequential order is .
La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)
We prove that, for every countable ordinal α ≥ 3, there exists countable completely regular spaces Xα and Yα such that the spaces Cp (Xα ) and Cp (Yα ) are borelian of class exactly Mα , but are not homeomorphic.
La continuité de la section d'un ensemble semi-analytique et compact
La structure borélienne d'Effros est-elle standard?
La suite des approximations successives dans le cas general
La théorie des points fixes des applications à itérée condensante
Large free subgroups of automorphism groups of ultrahomogeneous spaces
We consider the following notion of largeness for subgroups of . A group G is large if it contains a free subgroup on generators. We give a necessary condition for a countable structure A to have a large group Aut(A) of automorphisms. It turns out that any countable free subgroup of can be extended to a large free subgroup of , and, under Martin’s Axiom, any free subgroup of of cardinality less than can also be extended to a large free subgroup of . Finally, if Gₙ are countable groups, then...
Large games with only small players and finite strategy sets
Large games of kind considered in the present paper (LSF-games) directly generalize the usual concept of n-matrix games; the notion is related to games with a continuum of players and anonymous games with finitely many types of players, finitely many available actions and distribution dependent payoffs; however, there is no need to introduce a distribution on the set of types. Relevant features of equilibrium distributions are studied by means of fixed point, nonlinear complementarity and constrained...
Lattice operators and topologies.
Le théorème de Lefschetz pour les ANR approximatifs
Lefschetz coincidence numbers of solvmanifolds with Mostow conditions
For any two continuous maps , between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of , . This result is an extension of the result of Ha, Lee and Penninckx for completely solvable case.
Left zero covering homomorphisms of laminated nearrings.
Leray endomorphisms and cone maps