# Subbasis

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## Definition of the noun Subbasis

What does Subbasis mean as a name of something?

**noun**

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

## Printed dictionaries and other books with definitions for Subbasis

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### Analysis (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 ...

### Topological 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 ...

### Handbook 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 ...

### Dictionary 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, ...

### CRC 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 ...

## Online dictionaries and encyclopedias with entries for Subbasis

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## Video about Subbasis

**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 S_{1}U_{1}B_{3}B_{3}A_{1}S_{1}I_{1}S_{1}

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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