Keywords

#stable_homotopy_theory

Stable homotopy theory

The study of spectra

In mathematics, stable homotopy theory is the part of homotopy theory concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the Freudenthal suspension theorem, which states that given any pointed space , the homotopy groups stabilize for sufficiently large. In particular, the homotopy groups of spheres stabilize for . For example,

Thu 17th

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Stable homotopy theory Homotopy theory Homotopy groups of spheres A¹ homotopy theory Chromatic homotopy theory Equivariant stable homotopy theory Spectrum (topology) Morava K-theory Ring spectrum Bott periodicity theorem
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