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Beijing International Center for Mathematical Research (BICMR) locates on the north Shore of Weiming Lake on the campus of Peking University. Sponsored by the national government of China, BICMR is de...
Recent experimental discoveries of new classes of topological phases have challenged current understanding of topological phases of matter. Moreover, the scope of topological phases has been extended ...
For a non-isolated point x of a topological space X let nw(x) be the smallest cardinality of a family N of infinite subsets of X such that each neighborhood O(x)  X of x contains a set N 2 N.
We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between E mov states in cold gases and Borromean and Brunnian rings t...
Topological expanders     Topological expanders       2011/2/25
We describe a natural topological generalization of edge expansion for graphs to arbitrary simplicial complexes and prove that this property holds with high probability for certain random complexes.
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited for different purpos...
In this paper, using some properties of fundamental groups and covering spaces of connected polyhedra and CW-complexes, we present topological proof for some famous theorems about finitely presented g...
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 ...
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...
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 ...
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...
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...
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 ...
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 ...
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...

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