# H Ring Spectra and Their Applications

@inproceedings{Bruner1986HRS, title={H Ring Spectra and Their Applications}, author={Robert R. Bruner and Jon P. May and James E. McClure and Markus Steinberger}, year={1986} }

Extended powers and H? ring spectra.- Miscellaneous applications in stable homotopy theory.- Homology operations for H? and Hn ring spectra.- The homotopy theory of H? ring spectra.- The homotopy groups of H? ring spectra.- The adams spectral sequence of H? ring spectra.- H? ring spectra via space-level homotopy theory.- Power operations in H ? d ring theories.- The mod p k-theory of QX.

## 255 Citations

### Commutative ring spectra

- Mathematics
- 2017

In this survey paper on commutative ring spectra we present some basic features of commutative ring spectra and discuss model category structures. As a first interesting class of examples of such…

### The mod 2 Hopf ring for connective Morava K-theory

- Mathematics
- 2016

This paper examines the mod 2 homology of the spaces in the Omega-spectrum for connective Morava K-theory, i.e., the mod 2 Hopf ring for connective Morava K-theory. A natural set of generators for…

### $G_\infty$-ring spectra and Moore spectra for $\beta$-rings

- Mathematics
- 2020

In this paper, we introduce the notion of $G_\infty$-ring spectra. These are globally equivariant homotopy types with a structured multiplication, giving rise to power operations on their equivariant…

### WHAT ARE SPECTRA?

- Mathematics
- 2020

Many algebraic invariants are stable under suspension, for example: the homology, cohomology and stable homotopy groups of a space. To study these, it is useful to work in a “stable” category where…

### Strict units of commutative ring spectra

- Mathematics
- 2019

We provide computational tools to calculate the strict units of commutative ring spectra. We describe the Goerss-Hopkins-Miller spectral sequence for computing strict units of…

### Rings, Modules, and Algebras in Stable Homotopy Theory

- Mathematics
- 2007

Introduction Prologue: the category of ${\mathbb L}$-spectra Structured ring and module spectra The homotopy theory of $R$-modules The algebraic theory of $R$-modules $R$-ring spectra and the…

### Complex Cobordism and Stable Homotopy Groups of Spheres

- Mathematics
- 1986

An introduction to the homotopy groups of spheres Setting up the Adams spectral sequence The classical Adams spectral sequence $BP$-theory and the Adams-Novikov spectral sequence The chromatic…

### The K-theory cochains of H-spaces and height 1 chromatic homotopy theory

- Mathematics
- 2022

Fix an odd prime p . Let X be a pointed space whose p -completed K-theory KU ∗ p ( X ) is an exterior algebra on a ﬁnite number of odd generators; examples include odd spheres and many H-spaces. We…

### Nilpotence and Descent in Stable Homotopy Theory

- Mathematics
- 2017

We study various applications of the ideas of descent and nilpotence to stable homotopy theory. In particular, we give a descent-theoretic calculation of the Picard group of topological modular forms…

### The Morava K-theory Hopf Ring for BP

- Mathematics
- 1996

Let K be a p-local complex-oriented hornology theory. The K-hornology of the even spaces in the Ω-spectrum for BP form a Hopf ring. In [6] Ravenel and Wilson chararacterise this Hopf ring by a purely…