منابع مشابه
Geometrically uniform frames
We introduce a new class of frames with strong symmetry properties called geometrically uniform frames (GU), that are defined over an abelian group of unitary matrices and are generated by a single generating vector. The notion of GU frames is then extended to compound GU (CGU) frames which are generated by an abelian group of unitary matrices using multiple generating vectors. The dual frame v...
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In this paper we generalize the concept of geometrically uniform codes, formerly employed in Euclidean spaces, to hyperbolic spaces. We also show a characterization of generalized coset codes through the concept of G-linear codes. Mathematical subject classification: 14L35, 94B60.
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Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and u...
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It is shown that some familiar properties of epimorphisms in the category of frames cary over to the category of uniform frames. This is achieved by suitably enriching certain frame homomorphisms to uniform frame homomorphisms. This note deals with the natural question, apparently never considered so far, whether certain familiar facts concerning epimorphisms, and specifically epi-extensions, o...
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A locallic version of Hager’s metric-fine spaces is presented. A general definition of A-fineness is given and various special cases are considered, notably A = all metric frames, A = complete metric frames. Their interactions with each other, quotients, separability, completion and other topological properties are discussed.
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2003
ISSN: 0018-9448
DOI: 10.1109/tit.2003.809602