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CW complex

In mathematics, and specifically in topology, a CW complex (also cellular complex or cell complex) is a topological space that is built by gluing together topological balls (so-called cells) of different dimensions in specific ways. The notion generalizes both manifolds and simplicial complexes and has particular significance for algebraic topology. It…

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Overview

Definition

Examples

Properties

Homology and cohomology of CW complexes

Modification of CW structures

'The' homotopy category

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Map overview Semantic statistics

CW complex

Nodes97
Edges96
Triples92
Avg. degree1.98
Density0.020619
Components1

How this topic connects Entity context

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CW complex

Top relations

related to Properties · 17
CW complex → Cartesian, Cellular, CW, Finite CW, Hausdorff, Hom, However, If, In, John Milnor, Let, Note, On, Specifically, The, Then, Whitehead
related to Finite-dimensional CW complexes · 14
CW complex → An, CW, Differentiable, Epstein, Grassmannian, Here, Inductively, It, Penner Decomposition, Schubert, SnapPea, Some, Such, The
related to 1-dimensional CW complexes · 10
CW complex → Alternatively, An, CW, Given, It, Similarly, Some, Specifically, The, This
related to Modification of CW structures · 10
CW complex → Consider, CW, In, Its, Moreover, Now, Since, The, There, Whitehead
related to Non CW-complexes · 8
CW complex → An, Baire, CW, Hilbert, It, The, The Hawaiian, This
related to Homology and cohomology of CW complexes · 7
CW complex → Atiyah, CW, Hirzebruch, Moreover, Singular, Some, To
is a · 5
CW complex → CW complex whose gluing maps are homeomorphisms, quotient topology defined by these gluing maps.An infinite-dimensional CW complex can be constructed by repeating the above process countably many times, shadow.A polyhedron is naturally a CW complex.Grassmannian manifolds admit a CW structure called Schubert cells.Differentiable manifolds, topology of the quotient space defined by these gluing maps.In general, union X
related to 'The' homotopy category · 5
CW complex → Auxiliary, Brown, CW, One, The
related to CW complex · 5
CW complex → CW, Euclidean, The, Thus, To
related to Regular CW complexes · 4
CW complex → Accordingly, CW, CW-complex, Finally

Important terminology Word statistics

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Important terminology

cw complex displaystyle complexes topology one space cell cells 1-dimensional homotopy graph mathbb two closed constructed maps called weak also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
CW complexis aunion X0.90text
CW complexis atopology of the quotient space defined by these gluing maps.In general0.90text
CW complexis aquotient topology defined by these gluing maps.An infinite-dimensional CW complex can be constructed by repeating the above process countably many times0.90text
CW complexis aCW complex whose gluing maps are homeomorphisms0.90text
CW complexis ashadow.A polyhedron is naturally a CW complex.Grassmannian manifolds admit a CW structure called Schubert cells.Differentiable manifolds0.90text
CW complexrelated to 'The' homotopy categoryThe0.60section
CW complexrelated to 'The' homotopy categoryCW0.60section
CW complexrelated to 'The' homotopy categoryAuxiliary0.60section
CW complexrelated to 'The' homotopy categoryOne0.60section
CW complexrelated to 'The' homotopy categoryBrown0.60section
CW complexrelated to 0-dimensional CW complexesEvery0.60section
CW complexrelated to 0-dimensional CW complexesCW0.60section

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    Min side: 3
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