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Tate vector space

In mathematics, a Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts such as dimension and determinant to an infinite-dimensional situation. Tate spaces were introduced by Alexander Beilinson, Boris Feigin, and Barry Mazur (1991), who named them after John Tate.

Applications, Related notions and applications & Tate objects

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Overview

Introduction

Tate objects

Related notions and applications

Advanced semantic analysis

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Map overview Semantic statistics

Tate vector space

Nodes41
Edges40
Triples12
Avg. degree1.95
Density0.04878
Components1

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Tate vector space

Top relations

has application · 5
Tate vector space → An, Lie, Tate, Tate Lie, The
related to Introduction · 3
Tate vector space → It, Laurent, Tate
is a · 1
Tate vector space → vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts such as dimension and determinant to an infinite-dimensional situa…

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Important terminology

tate category spaces exact vector objects arxiv mr finite-dimensional determinant field math space infinite-dimensional example lattices drinfeld defined algebra introduced

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tate vector spaceis avector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts such as dimension and determinant to an infinite-dimensional situa…0.90text
dimensioninstance ofa Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts0.80text
determinant to an infinite-dimensional situationinstance ofa Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts0.80text
F pinstance ofwhich studies higher local fields0.80text
Tate vector spacehas applicationTate Lie0.60section
Tate vector spacehas applicationTate0.60section
Tate vector spacehas applicationLie0.60section
Tate vector spacehas applicationAn0.60section
Tate vector spacehas applicationThe0.60section
Tate vector spacerelated to IntroductionTate0.60section
Tate vector spacerelated to IntroductionLaurent0.60section
Tate vector spacerelated to IntroductionIt0.60section

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