A Survey of (∞, 1)-Categories
By Julia E. Bergner. 2010
103 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/117dacffde556548d3ac8751f9214e3892e9b9f2
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- D. Gepner
- Gonçalo Tabuada
- Andrew Justin Blumberg
- D. Nadler
- David Ben-Zvi
- J. Francis
- Imma G'alvez-Carrillo
- Joachim Kock
In Geometry and Topology
- D. Gepner
- Gonçalo Tabuada
- Andrew Justin Blumberg
- David Ben-Zvi
- J. Francis
- D. Nadler
- L. Cohn
- Clark Barwick
In Mathematical Physics
- D. Gepner
- Gonçalo Tabuada
- Andrew Justin Blumberg
- David Ben-Zvi
- J. Francis
- D. Nadler
- L. Cohn
- Clark Barwick
Citations in the corpus
- Integral Transforms and Drinfeld Centers in Derived Algebraic Geometry (2008, methodology): “tions and associativity properties are defined up to coherent homotopies. The resulting theory has many alternative formulations (as topological categories, Segal categories, quasicategories, etc; see [Ber] for a comparison between the different ∞-versions of 1-categories). We will follow the conventi”
- Derived Algebraic Geometry (2014, background): “This follows for instance from the existence of a model structure on simplicially enriched categories (see [16]).”
- Decomposition spaces, incidence algebras and Möbius inversion I: Basic theory (2015, background): “There are other implementations of ∞-categories, such as complete Segal spaces, see Bergner [7] for a survey.”
- Derived algebraic geometry (2014, background): “This follows for instance from the existence of a model structure on simplicially enriched categories (see [16]).”
- Loop spaces and connections (2010, methodology): “dinary categories fit into this formalism as discrete ∞-categories. The theory of ∞-categories has many alternative formulations (as topological categories, Segal categories, quasicategories, etc; see [Ber] for a comparison between the different versions). We will follow the conventions of [L1], which”
- Univalent categories and the Rezk completion (2013, background): “[5]), so that in the simplicial set model, strict and”
- Uniqueness of the multiplicative cyclotomic trace (2011, background): “There are now many competing models of ∞-categories, including Rezk’s Segal spaces [32], the Segal categories [20, 33] of Simpson and Tamsamani, the “quasicategories” (weak Kan complexes) introduced by Boardman and Vogt and studied by Joyal and Lurie [8, 22, 23], the homotopy theory of simplicial ca”