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Simplicial sets and the foundations of analysis

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Applications of Sheaves

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 753))

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References

  1. Anderson, D.W.: K-theory, simplicial complexes, and categories. Actes Congrès intern. Math. 1970, 2, 3–11. Gauthier-Villars, 1971

    Google Scholar 

  2. Beck, J.M.: From the pocket calculator to de Rham's theorem. Preprint Series 1977/78, 3. Mathematics Institute, Aarhus University

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  3. Bishop, E.: Foundations of constructive analysis. McGraw-Hill 1967

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  4. Boardman, J.M., Vogt, R.M.: Homotopy-everything H-spaces. Bull. Amer. Math. Soc. 74, 1117–1122 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  5. Boardman, J.M., Vogt, R.M.: Homotopy-invariant algebraic structures on topological spaces. Lecture Notes in Mathematics 347. Berlin and New York: Springer 1973

    Book  MATH  Google Scholar 

  6. Gabriel, P., Zisman, M.: Calculus of fractions and homotopy theory. Springer 1967

    Google Scholar 

  7. MacLane, S.: Homology. Springer 1963

    Google Scholar 

  8. MacLane, S.: Topology and logic as a source of algebra. Bull. Amer. Math. Soc. 82, 1–40 (1976)

    Article  MathSciNet  Google Scholar 

  9. May, J.P.: Simplicial methods in algebraic topology. Van Nostrand 1967

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  10. May, J.P.: Geometry in iterated loop spaces. Lecture Notes in Mathematics 271. Berlin and New York: Springer 1972

    Book  MATH  Google Scholar 

  11. Quillen, D.: Homotopical algebra. Lecture Notes in Mathematics 43. Berlin and New York: Springer 1967

    Google Scholar 

  12. Quillen, D.: Rational homotopy theory. Ann. of Math. 90, 205–295 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  13. Segal, G.: Categories and cohomology theories. Topology 13, 293–312 (1974)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Puerto Rico, 00931, Rio Pedras, Puerto Rico, USA

    Jon M. Beck

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  1. Jon M. Beck
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Michael Fourman Christopher Mulvey Dana Scott

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© 1979 Springer-Verlag

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Beck, J.M. (1979). Simplicial sets and the foundations of analysis. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061815

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  • DOI: https://doi.org/10.1007/BFb0061815

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09564-4

  • Online ISBN: 978-3-540-34849-8

  • eBook Packages: Springer Book Archive

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