Invited talks . . . . . . . . . . . . . . . . . . . . . . . . . 11 Bojan Mohar, Rooted K2,4-minors and wye-delta reducibility 11 János Pach, The importance of being simple . . . . . . . 11 Paul Seymour, . . . . . . . . . . . . . . . . . . . . . . . . 12 R. Ravi, Improved Approximations for Graph-TSP in Regular Graphs . . . . . . . . . . . . . . . . . . . . . . . 12 Bruce Reed, The Structure and...

in this paper boundedness and compactness of generalized composition oper-ators from logarithmic bloch type spaces to q_k type spaces are investigated.

The concept of intuitionistic fuzzy β-almost compactness and intuitionistic fuzzy β-nearly compactness in intuitionistic fuzzy topological spaces is introduced and studied. Besides giving characterizations of these spaces, we study some of their properties. Also, we investigate the behavior of intuitionistic fuzzy β-compactness, intuitionistic fuzzy β-almost compactness, and intuitionistic fuzz...

Let X be a closed smooth 4-manifold. In the Theory of the SeibergWitten Equations, the configuration space is Cα = Aα × Γ (S + α ), where Aα is a space of u1-connections defined on a complex line bundle over X and Γ (S α ) is the space of sections of the positive complex spinor bundle over X. The original SWα-equations are 1 -order PDE fitting into a variational principle SWα : Aα × Sα → R, whi...

We use the ultramean construction to prove linear compactness theorem. We also extend the Rudin-Keisler ordering to maximal probability charges and characterize it by embeddings of power ultrameans.

A variant of compactness designated as statistical has been introduced. Statistically compact subsets n-dimensional Euclidean space Rn have characterized by using Cantor-Bendixson derivative and it is further extended to the product RN.

The Palais-Smale Condition C holds for the Yang-Mills functional on principal bundles over compact manifolds of dimension ≤ 3. This was established by S. Sedlacek [17] and C. Taubes [18] Proposition 4.5 using the compactness theorem of K. Uhlenbeck [20]; see also [23]. It is well known that Condition C fails for Yang-Mills over compact manifolds of dimension ≥ 4. The example of SO(3)-invariant ...

We establish an existence result for semilinear elliptic problems with the associated functional not satisfying the Palais-Smale condition. The nonlinearity of our problem does not satisfy the Ambrosetti-Rabinowitz condition.