The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.

In dealing with transformation group, topological approach is very natural. But, it is not sufficient to investigate geometric properties of transformation group and we need geometric method. Frankel-McDuff Conjecture is very interesting in the point that it shows struggling between topological method and geometric method. In this paper, the author suggest generalized FrankelMcDuff conjecture a...

This paper investigates the role of topological methods in the analysis of canardtype periodic and chaotic trajectories. In Sections 1 – 5 we apply topological degree [1, 2] to the analysis of multi-dimensional canards. This part of the paper was written mainly by the first and the last authors. Sections 6 – 7 are devoted to an application of a special corollary of the Poincaré–Bendixson theore...

The main interaction between pyridine and zeolites leads to form a hydrogen bond between the N atom of pyridine and OH groups of zeolites. The present work reports a theoretical study about the structural, vibrational and topological properties of the charge distribution of the molecular complexes between pyridine and a series of acids sites of zeolites. The calculated structural parameters...

Using the Generalized Differential Calculus, we establish the generalized Chern-Weil homomormism, re-derive the geometric properties for both P (M4, G) and pseudo-Riemannian spacetime manifolds from BF theories, and obtain the generalized Chern-Simons term for BF theory in four dimensions. It gives a direct relation between these two types of topological field theories. We then obtain the BF gr...