homotopy theory

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homotopy theory [hō′mäd·ə·pē ‚thē·ə·rē]

(mathematics)

The study of the topological structure of a space by examining the algebraic properties of its various homotopy groups.

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No references found			Summer School on Interactions between Homotopy Theory and Algebra (2004: Chicago, IL) Ed. Interactions between homotopy and algebra; proceedings by SciTech Book News 257 QC793 Physicists and materials scientists report recent research in the three areas from such perspectives as a homotopy theory of topological defects in ferromagnetic, anti-ferromagnetic, and cyclic spinor condensates; high spin field theories and relativistic; recent advances in developing borate crystal growth; and crystal growth from pharmaceutical melts. Bosons, ferromagnetism, and crystal growth research by SciTech Book News Wu displays the obstructions to the classic exponent problem in homotopy theory in the extension groups of the dual of the important symmetric group modules Lie(n) as well as in the top cohomology of the Artin braid groups with coefficients in the top homology of the Artin pure braid groups. On maps from loop suspensions to loop spaces and the shuffle ... by SciTech Book News			Homopolar Generator Homopolar Induction homopolar machine homopolymer homopolymer tail homopolysaccharide Homoptera Homosassa Springs Wildlife State Park homoscedastic Homosclerophorida homoserine homosexual homosexual panic Homosexuality homosphere homospory homothallic Homothallism homothetic center homothetic curves homothetic figures homothetic ratio homothetic transformation homotopy homotopy groups homotopy theory homotropic enzyme homotropous homotype Homotypy homovanillic acid Homowo homozeotrope Homozygosis Homozygote homozygote and heterozygote homozygous Homs Homstrom Homunculus Homyel Hon Gay Honan Honanfu Honda Motor Co. Honda, Soichiro Hondecoeter, Melchior d' Hondo Hondurans Honduras Honduras Independence Day			homothetic figures homothetic ratio Homothetic transformation Homothetic utility Homothety homotonic Homotonous homotopic homotopic Homotopic maps homotopic pain homotopic transplantation homotopic transplantation homotopic transplantation homotopic transplantation Homotopical Homotopically equivalent Homotopy Homotopy Homotopy class Homotopy equivalence Homotopy equivalent Homotopy group Homotopy groups Homotopy invariance Homotopy invariant Homotopy of maps Homotopy of paths Homotopy Quantum Field Theory homotopy theory Homotopy type homotoxicology Homotropal homotropic enzyme homotropous Homotypal homotype homotype homotype Homotypic homotypic cortex homotypic vaccine homotypic vaccine homotypic vaccine Homotypy Homotypy Homous homousian homousians Homovanillic Homovanillic homovanillic acid homovanillic acid Homowo Homowo festival homoxenous homozeotrope homozygosis homozygosis homozygosis

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