Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable

Sequence spaces with separable 7 - duals

Concerning Continua in a Separable Space Which Do Not Cross*

In working with collections of continua it is sometimes useful to know something of the character of the point set consisting of all the points common to two or more members of the collection. Also it is of advantage to know conditions under which we may subtract a countable number of continua from the collection and have left a collection of mutually exclusive continua. The theorem which we sh...

Isomorphism of Graphs Which are k-Separable*

A polynomial time algorithm for testing isomorphism of graphs which are pairwise k-separable for fixed k is given. The pairwise k-separable graphs are those graphs where each pair of distinct vertices are k-separable. This is a natural generalization of the bounded valence test of Luks.The subgroup of automorphisms of a hypergraph whose restriction to the vertices is in a given group, for fixed...

Valuation domains whose products of free modules are separable

It is proved that if R is a valuation domain with maximal ideal P and if RL is countably generated for each prime ideal L, then R R is separable if and only RJ is maximal, where J = ∩n∈NP . When R is a valuation domain satisfying one of the following two conditions: (1) R is almost maximal and its quotient field Q is countably generated (2) R is archimedean Franzen proved in [2] that R is separ...

Evolution inclusions in non separable Banach spaces

We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.