# nLab parametrized spectrum

under construction

### Context

#### Stable Homotopy theory

stable homotopy theory

# Contents

## Idea

A bundle of spectra.

Specifically, for $X$ an ∞-groupoid a spectrum parameterized over $X$ is an (∞,1)-functor $X\to \mathrm{Spec}$ from $X$ to the stable (∞,1)-category of spectra.

The collection of all parameterized spectra for all $\infty$-groupoids $X$ should form the tangent (∞,1)-category of ∞Grpd.

## References

The comprehensive textbook on the matter is

A formulation of aspects of this in (∞,1)-category theory is in