A combinatorial model for the path fibration

Manuel Rivera, Samson Saneblidze

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We introduce the abstract notion of a necklical set in order to describe a functorial combinatorial model of the path fibration over the geometric realization of a path connected simplicial set. In particular, to any path connected simplicial set X we associate a necklical set Ω^ X such that its geometric realization

Original languageEnglish (US)
Pages (from-to)393-410
Number of pages18
JournalJournal of Homotopy and Related Structures
Volume14
Issue number2
DOIs
StatePublished - Jun 11 2019

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Fibration
Simplicial Set
Connected Set
Path
Model

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

A combinatorial model for the path fibration. / Rivera, Manuel; Saneblidze, Samson.

In: Journal of Homotopy and Related Structures, Vol. 14, No. 2, 11.06.2019, p. 393-410.

Research output: Contribution to journalArticle

Rivera, Manuel ; Saneblidze, Samson. / A combinatorial model for the path fibration. In: Journal of Homotopy and Related Structures. 2019 ; Vol. 14, No. 2. pp. 393-410.
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