Glossary of algebraic topology

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Template:Use American English Template:Short description This is a glossary of properties and concepts in algebraic topology in mathematics.

See also: glossary of topology, list of algebraic topology topics, glossary of category theory, glossary of differential geometry and topology, Timeline of manifolds.

Convention: Throughout the article, I denotes the unit interval, Sⁿ the n-sphere and Dⁿ the n-disk. Also, throughout the article, spaces are assumed to be reasonable; this can be taken to mean for example, a space is a CW complex or compactly generated weakly Hausdorff space. Similarly, no attempt is made to be definitive about the definition of a spectrum. A simplicial set is not thought of as a space; i.e., we generally distinguish between simplicial sets and their geometric realizations.
Inclusion criterion: As there is no glossary of homological algebra in Wikipedia right now, this glossary also includes a few concepts in homological algebra (e.g., chain homotopy); some concepts in geometric topology and differential topology are also fair game. On the other hand, the items that appear in glossary of topology are generally omitted. Abstract homotopy theory and motivic homotopy theory are also outside the scope. Glossary of category theory covers (or will cover) concepts in theory of model categories. See the glossary of symplectic geometry for the topics in symplectic topology such as quantization.

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I

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N

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S

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Notes

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References

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Template:Cite web Lectures delivered by Michael Hopkins and Notes by Akhil Mathew, Harvard.
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Template:Cite web (despite the title, it contains a significant amount of general results.)
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Further reading

José I. Burgos Gil, The Regulators of Beilinson and Borel
Lectures on groups of homotopy spheres by JP Levine
B. I. Dundas, M. Levine, P. A. Østvær, O. Röndigs, and V. Voevodsky. Motivic homotopy theory. Universitext. Springer-Verlag, Berlin, 2007. Lectures from the Summer School held in Nordfjordeid, August 2002. [1]

External links

Algebraic Topology: A guide to literature Template:Webarchive

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