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homotopy groups

   Also found in: Wikipedia 0.01 sec.
homotopy groups [hō′mäd·ə·pē ‚grüps]
(mathematics)
Associated to a topological spaceX,the groups appearing for each positive integern,which reflect the number of different ways (up to homotopy) than ann-dimensional sphere may be mapped toX.


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Ranging from the later 1950s and into the later 1960s, these papers and include the "exotic spheres," including a procedure for killing homotopy groups of differentiable manifolds; expository lectures on topology, differentiable structures, and smooth manifolds with boundary based on "Variedades diferenciables con frontera", papers on relations with algebraic topology, and a series on cobiordism that is evidence of a staggering level of work done in a very short time.
 
 
 
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