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homotopy double groupoid of a Hausdorff space
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(Definition)
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"homotopy double groupoid of a Hausdorff space" is owned by bci1.
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See Also: homotopy addition lemma and corollary, thin double track, higher dimensional algebra, fundamental groupoid functors, functorial morphism, fundamental groupoid, homotopy groups, higher dimensional algebra, higher dimensional generalized Van Kampen theorems (HD-VKT), homotopy addition lemma and corollary, thin equivalence relation, cubically thin homotopy, groupoids, Birkhoff-Kakutani theorem
| Other names: |
homotopy double groupoid of a compact space |
| Also defines: |
double groupoid, thin equivalence, thinly equivalent, higher dimensional homotopy |
| Keywords: |
groupoid, double groupoid, homotopy, homotopy group, homotopy double groupoid, Hausdorff space, homotopy double groupoid of a Hausdorff space |
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Cross-references: double category, invertible, equivalent, faces, cube, vertices, cubically thin homotopy, relation, inverses, identities, maps, source, canonical, concatenation, induced, structure, semitrack, class, homotopy, diagram, operations, order, dimensions, sides, thin square, equivalence relation, thin, paths, equivalence classes, morphisms, path groupoid, edge, category of groupoids, groupoid, topological space, groupoids, points, representation, compositions, squares, geometry, objects, definitions, homotopy double groupoid, HDA, Hausdorff space
There are 14 references to this entry.
This is version 69 of homotopy double groupoid of a Hausdorff space, born on 2008-07-20, modified 2009-02-01.
Object id is 10843, canonical name is HomotopyDoubleGroupoidOfAHausdorffSpace.
Accessed 2083 times total.
Classification:
| AMS MSC: | 55U40 (Algebraic topology :: Applied homological algebra and category theory :: Topological categories, foundations of homotopy theory) | | | 18D05 (Category theory; homological algebra :: Categories with structure :: Double categories, $2$-categories, bicategories and generalizations) | | | 22A22 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Topological groupoids ) | | | 55N20 (Algebraic topology :: Homology and cohomology theories :: Generalized homology and cohomology theories) | | | 55N33 (Algebraic topology :: Homology and cohomology theories :: Intersection homology and cohomology) |
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Pending Errata and Addenda
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