## The derivatives of homotopy theory

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- by Brenda Johnson PDF
- Trans. Amer. Math. Soc.
**347**(1995), 1295-1321 Request permission

## Abstract:

We construct a functor of spaces, ${M_n}$, and show that its multilinearization is equivalent to the $n$th layer of the Taylor tower of the identity functor of spaces. This allows us to identify the derivatives of the identity functor and determine their homotopy type.## References

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## Additional Information

- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**347**(1995), 1295-1321 - MSC: Primary 55P65
- DOI: https://doi.org/10.1090/S0002-9947-1995-1297532-6
- MathSciNet review: 1297532