#
nLab

Rational and p-adic Homotopy Theory

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on rational homotopy theory and p-adic homotopy theory seen within the theory of algebraic ∞-stacks and derived algebraic geometry.

# Contents

## Rational homotopy theory

## $E_\infty$-Algebras in positive characteristic

### 2.1 Norm maps

### 2.2 Power operations on $E_\infty$-Algebras

### 2.3 Finitely constructible sheaves

### 2.4 A Universal coefficient theorem

### 2.5 Compactness of relative cochain algebras

### 2.6 Affine behaviour of $p$-constructible morphisms