Skip to main content

Abstract

In this chapter we recall basic notions from the theory of operads that we use. We follow the framework developed by May in (The Geometry of Iterated Loop Spaces. Lectures Notes in Mathematics, vol. 271. Springer, Berlin, 1972), with some slight modifications in the notation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. William Browder, Homology operations and loop spaces, Illinois J. Math. 4 (1960), 347–357.

    Article  MathSciNet  Google Scholar 

  2. _________ , The homology of \(\mathcal {C}_{n+1}\) -spaces, n ≥ 0, in: “The Homology of Iterated Loop Spaces”, Lecture Notes in Mathematics, vol. 533, Springer-Verlag, Heidelberg, 1976, pp. 207–351.

    Google Scholar 

  3. Eldon Dyer and Richard K. Lashof, Homology of iterated loop spaces, Amer. J. Math. 84 (1962), 35–88.

    Article  MathSciNet  Google Scholar 

  4. Tatsuji Kudo and Shôrô Araki, Topology of H n -spaces and H-squaring operations, Mem. Fac. Sci. Kyūsyū Univ. Ser. A. 10 (1956), 85–120.

    MATH  Google Scholar 

  5. _________ , The geometry of iterated loop spaces, Lectures Notes in Mathematics, vol. 271, Springer-Verlag, Berlin, New York, 1972.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Blagojević, P.V.M., Cohen, F.R., Crabb, M.C., Lück, W., Ziegler, G.M. (2021). Operads. In: Equivariant Cohomology of Configuration Spaces Mod 2. Lecture Notes in Mathematics, vol 2282. Springer, Cham. https://doi.org/10.1007/978-3-030-84138-6_7

Download citation

Publish with us

Policies and ethics