we introduce some new concepts of topological spaces which say α − separable topologicalspace and o-topological group, α − first axiom, α − second axiom, and we find some relations betweenthem with some applications in normed spaces.

In this article we prove that Axiom A is a necessary condition for structural stability of C1 nonsingular endomorphisms of the circle.

We construct a variety of inner models exhibiting features usually obtained by forcing over universes with large cardinals. For example, if there is a supercompact cardinal, then there is an inner model with a Laver indestructible supercompact cardinal. If there is a supercompact cardinal, then there is an inner model with a supercompact cardinal κ for which 2κ = κ+, another for which 2κ = κ++ ...

We discuss a model, in which two agents may distribute finitely many objects among themselves. The conflict is resolved by means of a market procedure. Depending on the specifications, this procedure serves to implement bargaining solutions such as the discrete Raiffa solution, the Kalai-Smorodinsky solution and the Perles-Maschler solution. The latter is axiomatized using the superadditivity a...

We introduce a model of bargaining among groups, and characterize a family of solutions using a Consistency axiom and a few other invariance and monotonicity properties. For each solution in the family, there exists some constant α ≥ 0 such that the "bargaining power" of a group is proportional to cα, where c is the cardinality of the group. Subject classification: JEL C71, C78

Breirem, K. (1939). Tierernuhrung, 11, 487. Breirem, K. (1954). In Festschrift anlasslich des 100 jahrigen Bestehens der Landwirtschaftlichen Versuchsstation Leipzig-Mockern. Vol. 2. IOO Jahre Mockern. Die Bewertung des Futterstoffe und andere Probleme der Tierernuhrung, p. 91. [K. Nehring, editor.] Berlin : Deutscher Bauernverlag. James, A. T. & Martin, A. J. P. (1952). Biochem. J. 50, 679. Ke...

We show that in an environment of incomplete information, if individual preferences are sufficiently rich, then monotonicity and the Pareto property applied only when there is common knowledge of Pareto dominance imply (i) there must exist a common prior over the smallest common knowledge event and (ii) aggregation must be ex-ante utilitarian with respect to that common prior. This work builds ...

Two different paradoxes of the fuzzy logic programming system of [29] are presented. The first paradox is due to two distinct (contradictory) truth values for every ground atom of FLP, one is syntactical, the other is semantical. The second paradox concerns the cardinality of the valid FLP formulas which is found to have contradictory values: both $\aleph_0$ the cardinality of the natural numbe...