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Postnikov system

In homotopy theory, a branch of algebraic topology, a Postnikov system (or Postnikov tower) is a way of decomposing a topological space by filtering its homotopy type. For a space X {\displaystyle X} , this is a list of spaces { X n } n ≥ 0 {\displaystyle \{X_{n}\}_{n\geq 0}} where

Definition, Homotopy groups of spheres & Whitehead tower

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Overview

Definition

Examples of Postnikov towers

Homotopy groups of spheres

Postnikov towers of spectra

Whitehead tower

Whitehead tower of spectra

Whitehead tower and string theory

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Postnikov system

Nodes50
Edges49
Triples7
Avg. degree1.96
Density0.04
Components1

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Postnikov system

Top relations

related to Existence · 6
Postnikov system → CW, For, If, Postnikov, They, Using
related to Definition · 1
Postnikov system → Postnikov

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Important terminology

displaystyle homotopy pi tower postnikov groups space spaces fibration whitehead map theory giving left right maps n-1 using type sequence

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Postnikov systemrelated to DefinitionPostnikov0.60section
Postnikov systemrelated to ExistencePostnikov0.60section
Postnikov systemrelated to ExistenceCW0.60section
Postnikov systemrelated to ExistenceThey0.60section
Postnikov systemrelated to ExistenceIf0.60section
Postnikov systemrelated to ExistenceFor0.60section
Postnikov systemrelated to ExistenceUsing0.60section

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