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55Q: Homotopy groups


Introduction

History

Applications and related fields

The "homotopy continuation methods" in numerical analysis and control are essentially unrelated to homotopy theory (but rather are more akin to analytic continuation in complex analysis.) One is, at best, using a linear homotopy between two constant maps into M_n(R).

Subfields

Parent field: 55: Algebraic Topology

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

Software and tables

Tables of the homotopy groups of spheres [Hatcher].

Other web sites with this focus

Selected topics at this site

Some topics on the question of explicit computability of higher homotopy groups (not a trivial issue!)


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Last modified 2000/01/14 by Dave Rusin. Mail: