Reports, Seminar in Topology, Part 1University of Chicago, 1957 - Topology |
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A₂ algebra boundary operator BRARIES carrier chain complex chain homotopy chain map chain module classes of maps closed neighborhood coefficients cohomology operations composition corresponding defined Definition denote dimension Ed+n+1 elements Euclidean space exists FD-map FD-modules fiber filtered differential group finite following theorem functor generalised manifolds geometric group complex hence homology structure homology theory homomorphism homotopy classes homotopy manifold homotopy type Hopf invariant Hopf's immersions implies induced integers isomorphism Lemma Let F LIBRARIES STANFORD UNIVERSITY locally Euclidean main theorem Math n-gm non-trivial normal obtained pairing Pc(x prefunctor Problem Proc proof properties pseudogroup regular homotopy regular topological groupoid regularly homotopic secondary operation singular singular homology sn+1 spectral sequence Sq² stable STANFORD UNIVERSITY LIBRARIES Steenrod strong atoms subcomplex subgroupoid subset suspension topological groupoid topological space trivial UNIVERSITY LIBRARIES STANFORD V-category Whitehead Z₂