6533b871fe1ef96bd12d0dcc

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Localification of variable-basis topological systems

Sergey A. Solovyov

subject

Topological manifoldPure mathematicsmedicine.medical_specialtyTopological algebraTopological tensor productTopological dynamicsTopological spaceTopologyTopological entropy in physicsTopological vector spaceHomeomorphismAlgebraMathematics (miscellaneous)medicineMathematics

description

The paper provides another approach to the notion of variable-basis topological system generalizing the fixed-basis concept of S. Vickers, considers functorial relationships between the categories of modified variable-basis topological systems and variable-basis fuzzy topological spaces in the sense of S.E. Rodabaugh and shows that the procedure of localification is possible in the new setting. Quaestiones Mathematicae 33(2010), 11–33

https://doi.org/10.2989/16073606.2011.570292