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Algebraic geometry of topological spaces I
(Institut Mittag-Leffler, 2012-09)
We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, ...
Symmetry insights for design of supercomputer network topologies: roots and weights lattices
(World Scientific Publishing Co. Pte. Ltd.Singapore, 2012)
We present a family of networks whose local interconnection topologies are generated by the root vectors of a semi-simple complex Lie algebra. Cartan classification theorem of those algebras ensures those families of ...
Singular coefficients in the K-theoretic Farrell-Jones conjecture
(Mathematical Sciences Publishers, 2016-02)
Let G be a group and let k be a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R [G] is satisfied for every smooth k -algebra R, then it is also satisfied for every commutative ...
Algorithm for probing the unitarity of topologically massive models
(Springer, 2005-08-01)
An uncomplicated and easy handling prescription that converts the task of checking the unitarity of massive, topologically massive, models into a straightforward algebraic exercise, is developed. The algorithm is used to ...
Logic TK: algebric notions from Tarski's consequence operator
(2010)
Tarski presented his definition of consequence operator to explain the most important notions which any logical consequence concept must contemplate. A Tarski space is a pair constituted by a nonempty set and a consequence ...
A NEW DEFINITION OF S* CLOSEDNESS IN L-"TOPOLOGICAL SPACES
(Universidad Católica del Norte, Departamento de Matemáticas, 2010)
A Boolean algebra and a Banach space obtained by push-out iteration
(ELSEVIER SCIENCE BV, 2011)
Under the assumption that c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(omega)/fin has under CH and in the N(2)-Cohen ...
Representation theory of MV-algebras
(Elsevier, 2010-01-15)
In this paper we develop a general representation theory for MV-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of classifying topoi of coherent extensions ...
Remarks on general monotonic neighbourhood frames
(Old City Publishing Inc, 2015-08)
In this paper we shall discuss some classes of general monotonic neighbourhood frames, or general m-frames. We shall study the classes of point-compact, image compact and replete general m-frames, and the relationships ...
Abelian torsion groups with a countably compact group topology
(ELSEVIER SCIENCE BV, 2010)
Comfort and Remus [W.W. Comfort, D. Remus, Abelian torsion groups with a pseudo-compact group topology, Forum Math. 6 (3) (1994) 323-337] characterized algebraically the Abelian torsion groups that admit a pseudocompact ...