Uniqueness of product and coproduct decompositions in rational homotopy theory
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- by Roy Douglas and Lex Renner PDF
- Trans. Amer. Math. Soc. 264 (1981), 165-180 Request permission
Abstract:
Let $X$ be a nilpotent rational homotopy type such that (1) $S(X)$, the image of the Hurewicz map has finite total rank, and (2) the basepoint map of $M$, a minimal algebra for $X$, is an element of the Zariski closure of ${\text {Aut}}(M)$ in ${\text {End}}(M)$ (i.e. $X$ has "positive weight"). Then (A) any retract of $X$ satisfies the two properties above, (B) any two irreducible product decompositions of $X$ are equivalent, and (C) any two irreducible coproduct decompositions of $X$ are equivalent.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 264 (1981), 165-180
- MSC: Primary 55P62
- DOI: https://doi.org/10.1090/S0002-9947-1981-0597874-3
- MathSciNet review: 597874