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Order-theoretic properties of bases in topological spaces I
Noetherian type Open in finite OIF product box product
2011/2/22
We study some cardinal invariants of an order-theoretic fashion on products and box products of topological spaces. In particular, we concen-trate on the Noetherian type (Nt), defined by Peregudov in ...
Topological centers of $n-$th dual of module actions
Arens regularity bilinear mappings Topological center n-th dual
2011/2/21
In this paper, we will study the topological centers of n−th dual of Banach A−module and we extend some propositions from Lau and ¨Ulger into n−th dual of Banach A−modules wher...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
Schur multiplier Homotopy group Homology group
2011/2/21
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space
Non-existence of non-topological solitons types of gauge field theories Minkowski space
2011/1/17
In this paper the conditions, under which non-topological solitons are absent in Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained. It is also shown that non-topo...
Topological Insulators and C^*-Algebras: Theory and Numerical Practice
Topological Insulators C^*-Algebras Theory Numerical Practice
2011/3/2
We apply ideas from C-algebra to the study of disordered topological insulators.We extract certain almost commuting matrices from the free Fermi Hamiltonian,describing band projected coordinate matri...
Defining and Computing Topological Persistence for 1-cocycles
Topological Persistence 1-cocycles
2011/2/22
The concept of topological persistence, introduced recently in computational topology, finds applications in studying a map in relation to the topology of its domain. Since its introduction, it has be...
Towards Topological Quantum Computation? - Knotting and Fusing Flux Tubes
topological quantum computation quantum physics condensed matter
2011/3/4
Models for topological quantum computation are based on braiding and fusing anyons (quasi-
particles of fractional statistics) in (2+1)-D. The anyons that can exist in a physical theory are determine...
Leibniz's Principles and Topological Extensions
topological extensions nonstandard models transfer principle
2011/2/24
Three philosophical principles are often quoted in connection with Leib-niz: “objects sharing the same properties are the same object”, “everything can possibly exist, unless it yields contradiction”,...
Generalized Weyl-Wigner-Moyal Formalism and Topological Groups
Generalized Weyl-Wigner-Moyal Formalism Topological Groups
2011/2/28
Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal and Ville.We analyze the relationship between this formalism and geometry of ...
Topological term in the non-linear $\sigma$ model of the SO(5) spin chains
Non-linear sigma model topological terms spin chains
2010/12/16
We show that there is a topological (Berry phase) term in the non-linear model description of the SO(5) spin chain. It distinguishes the linear and projective repre-sentations of the SO(5) symmetry ...
Topological toric manifolds
toric manifold fan multi-fan quasitoric manifold torus manifold
2011/1/19
We introduce the notion of a topological toric manifold and a topo-logical fan and show that there is a bijection between omnioriented topological toric manifolds and complete non-singular topological...
Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
Surface operators 3d Topological Field Theory 2d Rational Conformal Field Theory
2011/3/2
We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory.
Topological stability criteria for synchronized coupled systems of non-identical oscillators
Topological stability criteria synchronized coupled systems of non-identical oscillators
2010/12/28
Individual dynamical units that are coupled via an interaction network can synchronize spontaneously without central regulation. The propensity to synchronize depends on structural properties of the i...
Exotic smooth structures on topological fibre bundles
Exotic smooth structures topological fibre bundles
2010/11/24
We use a variation of Hatcher's construction to construct virtually all stable exotic smooth structures on compact smooth manifold bundles whose fibers have sufficiently large odd dimension (at least...
Topological classification of zero-dimensional $M_\omega$-groups
Topological classification zero-dimensional
2010/11/23
A topological group $G$ is called an $M_\omega$-group if it admits a countable cover $\K$ by closed metrizable subspaces of $G$ such that a subset $U$ of $G$ is open in $G$ if and only if $U\cap K$ i...