L'apparition de la théorie des groupes topologiques
Large cardinals and Dowker products
We prove that if there is a model of set-theory which contains no first countable, locally compact, scattered, countably paracompact space , whose Tychonoff square is a Dowker space, then there is an inner model which contains a measurable cardinal.
Large families of dense pseudocompact subgroups of compact groups
We prove that every nonmetrizable compact connected Abelian group G has a family H of size |G|, the maximal size possible, consisting of proper dense pseudocompact subgroups of G such that H ∩ H'={0} for distinct H,H' ∈ H. An easy example shows that connectedness of G is essential in the above result. In the general case we establish that every nonmetrizable compact Abelian group G has a family H of size |G| consisting of proper dense pseudocompact subgroups of G such that each intersection H H'...
Large free set
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...
Las métricas de Orlicz derivan de una única métrica probabilística.
It is shown that the same probabilistic metric as used by Schweizer and Sklar to obtain all Lp space metrics can be used to derive the metrics of Orlicz spaces.
Lattice normality and outer measures.
Lattice of -compact topological spaces
Lattice operators and topologies.
Lattices and topology
Lattices of fuzzy objects.
Le flot géodésique des variétés riemanniennes à courbure négative
Le rang de Baire de la famille de toutes les fonctions ayant la propriété (K)
Le théorème de Lefschetz pour les ANR approximatifs
Lebesgue measurability of separately continuous functions and separability.
Lebesgue Relators.
Lectures on ideal dichotomy
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 translations of compact semilattices and generalizations