Simple homotopy theory explained

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".

See also

• Whitehead torsion

References

• Book: 10.1007/978-1-4684-9372-6. A Course in Simple-Homotopy Theory . Cohen . M. M. . Graduate Texts in Mathematics . 1973 . 10 . 978-0-387-90055-1 .
• Higher Simple Homotopy Theory . 10.2307/1970977 . 1970977 . Hatcher . A. E. . Annals of Mathematics . 1975 . 102 . 1 . 101–137 .
• Simple Homotopy Types . 10.2307/2372133 . 2372133 . Whitehead . J. H. C. . American Journal of Mathematics . 1950 . 72 . 1 . 1–57 .

Further reading

• • A lecture by J. Lurie.