Skip to main content

Model structures on dendroidal sets

  • 1407 Accesses

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)


In this lecture, we will discuss the existence of closed Quillen model category structures on the categories of dendroidal sets and of planar dendroidal sets.


  • Weak Equivalence
  • Deformation Retract
  • Normal Object
  • Lift Property
  • Cartesian Closed Category

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

USD   24.99
Price excludes VAT (USA)
  • ISBN: 978-3-0348-0052-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   34.95
Price excludes VAT (USA)


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Ieke Moerdijk .

Rights and permissions

Reprints and Permissions

Copyright information

© 2010 Springer Basel AG

About this chapter

Cite this chapter

Moerdijk, I., Toën, B. (2010). Model structures on dendroidal sets. In: Simplicial Methods for Operads and Algebraic Geometry. Advanced Courses in Mathematics - CRM Barcelona. Springer, Basel.

Download citation