nLab
derived tensor product

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

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