Cellular approximation theorem

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Applications

Homotopy groups Canonical Base-point preserving CW-pairs N-connected

7 related topics

Idea of proof

Induction Path-component Image Closure Compact

10 related topics

Overview

Algebraic topology Map CW-complexes Continuous map N-skeleton

6 related topics

Topics to explore

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Overview

Algebraic topology
Map Map (mathematics)
CW-complexes CW-complex
Continuous map Continuous function
N-skeleton
Homotopic Homotopy

Idea of proof

Induction Mathematical induction
Path-component Path-connected
Image Image (mathematics)
Closure Closure (topology)
Compact Compact set
Intersects Intersection (set theory)
Non-trivially Non-trivial
Restriction Function (mathematics)
Deformation retracts Deformation retraction
Homotopy extension property

Applications

Homotopy groups Homotopy group
Canonical Canonical form
Base-point preserving Base-point
CW-pairs CW-pair
N-connected
Exact sequence
Weak homotopy equivalence Weak equivalence (homotopy theory)

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Map overview Semantic statistics

Nodes27

Edges26

Triples6

Avg. degree1.93

Density0.074074

Components1

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