منابع مشابه
Proper Maps for Lax Algebras and the Kuratowski-mrówka Theorem
The characterization of stably closed maps of topological spaces as the closed maps with compact fibres and the role of the Kuratowski-Mrówka’ Theorem in this characterization are being explored in the general context of lax (T, V )-algebras, for a quantale V and a Setmonad T with a lax extension to V -relations. The general results are being applied in standard (topological and metric) and non...
متن کاملLax Matrices for Yang-Baxter Maps
It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) the Lax representation can be derived straight from the map itself. A similar phenomenon for 3D consistent equations on quadgraphs has been recently discovered by A. Bobenko and one of the authors, and by F. Nijhoff.
متن کاملOn proper polynomial maps of C
Two proper polynomial maps f1, f2 : C 2 −→ C are said to be equivalent if there exist Φ1, Φ2 ∈ Aut(C) such that f2 = Φ2 ◦ f1 ◦ Φ1. We investigate proper polynomial maps of topological degree d ≥ 2 up to equivalence. Under the further assumption that the maps are Galois coverings we also provide the complete description of equivalence classes. This widely extends previous results obtained by Lam...
متن کاملGeometric Quantization for Proper Moment Maps
We establish a geometric quantization formula for Hamiltonian actions of a compact Lie group acting on a non-compact symplectic manifold such that the associated moment map is proper. In particular, we resolve the conjecture of Vergne in this non-compact setting. 0. Introduction The famous geometric quantization conjecture of Guillemin and Sternberg [9] states that for a compact pre-quantizable...
متن کاملExponential Law for Uniformly Continuous Proper Maps
EXPONENTIAL LAW FOR UNIFORMLY CONTINUOUS PROPER MAPS R . AYALA, E . DOMINGUEZ, A . QUINTERO The purpose of this note is to prove the exponential law for uniformly continuous proper maps . Let X be a regular space and Y a locally compact regular space . It is well known that the spaces of continuousmaps C(X x Y, Z) and C(X, C(Y Z)) are homeomorphic considering the compact-open topology. This pro...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2007
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2006.03.003