Can the fundamental (homotopy) group of a space be the rationals?
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- by Saharon Shelah PDF
- Proc. Amer. Math. Soc. 103 (1988), 627-632 Request permission
Abstract:
We prove that for any topological space which is metric, compact (hence separable) path connected and locally path connected, its homotopy group is not the additive group of the rational, moreover if it is not finitely generated then it has the cardinality of the continuum.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 627-632
- MSC: Primary 55Q05; Secondary 03E15, 03E40
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943095-3
- MathSciNet review: 943095