Topological content of dimensional reduction

Dimensional reduction of dual topological theories

We describe the reduction from four to two dimensions of the SU(2) Donaldson-Witten theory and the dual twisted Seiberg-Witten theory, i.e. the Abelian topological field theory corresponding to the Seiberg–Witten monopole equations. NBI-HE-96-14 hep-th/9603023 ∗E-mail: [email protected]

Topological reduction of information systems

The main task of the present work is to apply some methods for knowledge reductions in the case of knowledge based on equivalence relations. Topological techniques are applied to construct knowledge bases via general relations. Topological structures are used to obtain discernibility matrix and discernibility function for knowledge reduction and decision making. Topology plays a significant rol...

Two{dimensional Topological Dynamics

Three-Dimensional Topological Insulators

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states (SSs) as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known examples of topological order in bulk solids. We review the basic phenomena and experimental history, starting with the observation of topological insulator b...

One Dimensional Topological Lattices

The lattice theoretic terminology used in this paper is consistent with Birkhoff [2]. The topological terms can be found in [5] or [8] with the following exceptions. If X and Y are sets, X\Y denotes the relative compliment of Y with respect to X. If A is a subset of a topological space then A*, A"and FiA)=A*\A° denote the topological closure, interior and boundary of A. The symbol 0 denotes the...