Simplicial Homotopy Theory

Goerss, P. G., & Jardine, J. F. (1999). Simplicial Homotopy Theory.

Type

Book

Intellectual base

Review or monograph

Year

1999

DOI

10.1007/978-3-0348-8707-6

ISBN

9783034897372

DOI registrant

Springer Nature (Birkhäuser Basel)

Link

https://doi.org/10.1007/978-3-0348-8707-6

Cited by

4 citations across 4 artifacts.

Domain-specific

• Dold–Kan correspondence
  • … grading, normalized versus unnormalized chains, differential signs, face and degeneracy maps, inverse functor, natural equivalence, and homology-homotopy identification are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Homotopy Hypothesis
  • A Kan complex can be read as an infinity-groupoid and participates in the standard Quillen equivalence between simplicial sets and topological spaces.
• Simplex category
  • The simplex category has finite ordered sets [n]={0,...,n} as objects and weakly order-preserving maps as morphisms.
• Simplicial set
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

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