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Definition of the noun Subbasis

What does Subbasis mean as a name of something?


  1. [mathematics] A subbase (subcollection of a topological space).

Printed dictionaries and other books with definitions for Subbasis

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Google previewAnalysis (2013)

Part II Integration, Distributions, Holomorphic Functions, Tensor and Harmonic Analysis by Krzysztof Maurin

A filter subbasis is a family of subsets of X such that all finite intersections of sets of the family are not empty. On adding these intersections together, we obtain a family which constitutes a filter basis. It determines a filter. The initial filter ...

Google previewTopological Spaces (2014)

by H. J. Kowalsky

subbasis; every subbasis is a covering of R. Conversely, let ($ be a covering of R. The system formed by taking all possible finite intersections of sets in (; verifies property (*) of 5.8 and is therefore a basis for a unique topology on R. We have ...

Google previewHandbook of Algebra (1995)

For a modular extension a subbasis is a relative p-basis of minimal total exponent and hence for an equiexponential modular extension any relative p- basis is a subbasis. Let {al, ..., ar} be a subbasis of L over F where a has exponent ri. Let {y1 ...

Google previewDictionary of Classical and Theoretical Mathematics (2001)

by Catherine Cavagnaro, William T. Haight, II

subbasis for a topology A collection of subsets of a topological space X whose set of finite intersections forms a basis for the topology r of X. For example, the set of all open intervals of the form (-00, ...

Google previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

form a SUBBASIS for the compact-open topology. That is , the open sets in the compact-open topology are the arbitrary unions of finite intersections of B(K; U):/ Companion Knot The simplest FUNCTION SPACE to ...

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Subbasis Meaning

Video shows what subbasis means. A subbase (subcollection of a topological space).. Subbasis Meaning. How to pronounce, definition audio dictionary. How to ...

Scrabble value of S1U1B3B3A1S1I1S1

The value of this 8-letter word is 12 points, but it's not an accepted word in the Official Scrabble Players Dictionary.

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