Internal Categorical Structures in Homotopical Algebra

Simona Paoli*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This is a survey on the use of some internal higher categorical structures in algebraic topology and homotopy theory. After providing a general view of the area and its applications, we concentrate on the algebraic modelling of connected en (n+1)-types through cat(n)-groups.

Original languageEnglish
Title of host publicationTowards Higher Categories
EditorsJC Baez, JP May
PublisherSpringer
Pages85-103
Number of pages19
ISBN (Print)978-1-4419-1523-8
DOIs
Publication statusPublished - 2010

Publication series

NameIMA Volumes in Mathematics and its Applications
PublisherSPRINGER
Volume152

Keywords

  • N-TYPES
  • CROSSED-MODULES
  • CO-HOMOLOGY
  • MODELS
  • EXTENSIONS
  • SPACES

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