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Rational homotopy and
unique factorization
Richard Body and Roy Rene Douglas |
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Vol. 75 (1978), No. 2, 331–338
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Abstract |
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Decompositions of various kinds of mathematical objects as products or coproducts are considered, and the uniqueness of these decompositions is discussed. For instance, the following topological result is proved. Let Δ be the set of formal, simply-connected, rational homotopy types having finitely generated rational homotopy. Of course, Δ is a commutative semigroup with respect to the usual product space construction. Then Δ is a free commutative semigroup. |
Mathematical Subject Classification 2000
Primary: 55P15
Secondary: 55P62
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Milestones
Received: 3 August 1976
Revised: 10 June 1977
Published: 1 April 1978
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Authors |
| Richard Body | |
| Roy Rene Douglas | |
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