Homology, Homotopy and Applications

What does the classifying space of a category classify?

Michael Weiss

Full-text: Open access

Abstract

The classifying space of a small category classifies sheaves whose values are contravariant functors from that category to sets and whose stalks are representable.

Article information

Source
Homology Homotopy Appl., Volume 7, Number 1 (2005), 185-195.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139839512

Mathematical Reviews number (MathSciNet)
MR2175298

Zentralblatt MATH identifier
1093.57012

Subjects
Primary: 18F20: Presheaves and sheaves [See also 14F05, 32C35, 32L10, 54B40, 55N30]
Secondary: 18G55: Homotopical algebra

Citation

Weiss, Michael. What does the classifying space of a category classify?. Homology Homotopy Appl. 7 (2005), no. 1, 185--195. https://projecteuclid.org/euclid.hha/1139839512


Export citation