# Contents

## Idea

The derived functor of a tensor product functor. In the context of homological algebra this is traditionally denoted by Tor

## Examples

homotopycohomologyhomology
$[S^n,-]$$[-,A]$$(-) \otimes A$
category theorycovariant homcontravariant homtensor product
homological algebraExtExtTor
enriched category theoryendendcoend
homotopy theoryderived hom space $\mathbb{R}Hom(S^n,-)$cocycles $\mathbb{R}Hom(-,A)$derived tensor product $(-) \otimes^{\mathbb{L}} A$

Revised on March 30, 2016 04:37:56 by Urs Schreiber (31.55.43.247)