Simple homotopy theory
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In mathematics, simple homotopy theory is a homotopy theory (a branch of algebraic topology) that concerns with the simple-homotopy type of a space. It was originated by Whitehead in his 1950 paper "Simple homotopy types".{{harvnb|Whitehead|1950}}
See also
References
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- {{cite book |doi=10.1007/978-1-4684-9372-6|title=A Course in Simple-Homotopy Theory |last1=Cohen |first1=M. M. |series=Graduate Texts in Mathematics |year=1973 |volume=10 |isbn=978-0-387-90055-1 }}
- {{cite journal |url=https://doi.org/10.2307/1970977|doi=10.2307/1970977 |jstor=1970977 |last1=Hatcher |first1=A. E. |title=Higher Simple Homotopy Theory |journal=Annals of Mathematics |year=1975 |volume=102 |issue=1 |pages=101–137 |url-access=subscription }}
- {{cite journal |url=https://doi.org/10.2307/2372133|doi=10.2307/2372133 |jstor=2372133 |title=Simple Homotopy Types |last1=Whitehead |first1=J. H. C. |journal=American Journal of Mathematics |year=1950 |volume=72 |issue=1 |pages=1–57 |url-access=subscription }}
Further reading
- {{nlab|id=simple+homotopy+theory|title=Simple homotopy theory }}
- [https://people.math.harvard.edu/~lurie/281notes/Lecture1-Overview.pdf A lecture by J. Lurie].
Category:Equivalence (mathematics)
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