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abelian monoid Adams admits the structure Amer associating homotopy bar construction Category Theory classes of multiplications cohomology connected CW consider Corollary 9 corresponding CW-complexes defined Definition l5 deformation denote differential Dold and Lashof Edited espaces Example l0 exists exterior algebra fibration fibre finite complex follows functor given H-map homology homomorphism homotopy associative H-space homotopy classes homotopy commutative homotopy groups homotopy inverses homotopy point homotopy theory homotopy type Hopf algebras Hubbuck induced infinite loop spaces isomorphism k-invariants k+s-l Lectures Lie groups loop class map f Massey products Math Milgram monoid morphisms multiplica obstructions operations permutations Postnikov system Proof quasifibration represented retraction Seiten Seminar shearing map spectral sequence spheres Stasheff Steenrod strongly homotopy multiplicative Sugawara SX X SX Theorem l3 topological groups trivial weak homotopy equivalence Whitehead products X X X XP(n Zabrodsky