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Singular cohomology inL

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Abstract

We prove, that in the world of constructible sets, there does not exist a spaceX withH″ (X,Z) isomorphic to the rational numbers. The proof requires a result about the growth of Ext Emphasis>/i z (-, Z) inside of Gödel’s constructible universeL.

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts, USA

    Howard L. Hiller & Saharon Shelah

  2. Department of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

    Howard L. Hiller & Saharon Shelah

Authors
  1. Howard L. Hiller
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  2. Saharon Shelah
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Additional information

The first-named author was partially supported by an NSF graduate fellowship. He would like to extend his sincere gratitude to Anil Nerode for introducing him to the topic, to Allen Adler for numerous stimulating conversations, and Saharon Shelah for helpful and encouraging correspondence.

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Hiller, H.L., Shelah, S. Singular cohomology inL . Israel J. Math. 26, 313–319 (1977). https://doi.org/10.1007/BF03007650

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  • DOI: https://doi.org/10.1007/BF03007650

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