Higher Categories and Homotopical Algebra

2019 ◽  
Author(s):  
Denis-Charles Cisinski
Keyword(s):  
Homotopical Algebra ◽  
Higher Categories

Taxonomic concepts and superfluity in bivalve nomenclature

1978 ◽  
Vol 284 (1001) ◽  
pp. 417-424 ◽  
Keyword(s):  
Fossil Record ◽  
Anatomical Reconstruction ◽  
Occam’S Razor ◽  
Human Tendency ◽  
Invertebrate Animals ◽  
Higher Categories ◽  
Occam's Razor

Among the classes of invertebrate animals, the Bivalvia, with its extremely long fossil record and its preserved characters, which permit inferential anatomical reconstruction, comprises a group especially fit for phyletic analysis. Ideal for the investigation of the dynamics of speciation and the evolution of higher categories, bivalves represent a taxonomic unit whose systematics suffer from certain weaknesses. The relative narrowness of the anagenetic distances between lineages and the all-too-human tendency both to proliferate nomina and to elevate taxa partially obfuscate reality. The taxonomy of the Bivalvia is threatened by a cloying nomenclature both at specific and higher categorical levels. Reappraisal of various, recently proposed, systematic arrangements and judicious application of Occam’s Razor may allay the malaise of superfluity and promise the elaboration of a phyletically meaningful but somewhat simplified, utilitarian classification.

Cubical homotopical algebra and cochain algebras

1996 ◽  
Vol 170 (1) ◽  
pp. 147-186 ◽  
Author(s):  
Marco Grandis
Keyword(s):  
Homotopical Algebra

scholarly journals A homotopical algebra of graphs related to zeta series

2009 ◽  
Vol 11 (1) ◽  
pp. 171-184
Author(s):  
Terrence Bisson ◽  
Aristide Tsemo
Keyword(s):  
Homotopical Algebra

CHAPTER XI. Higher Categories

1953 ◽  
pp. 338-376
Keyword(s):  
Higher Categories

6. Higher Categories

1961 ◽  
pp. 187-228
Keyword(s):  
Higher Categories

Numerical Invariants in Homotopical Algebra, I

1975 ◽  
Vol 27 (4) ◽  
pp. 901-934 ◽  
Author(s):  
K. Varadarajan
Keyword(s):  
Homotopy Theory ◽  
Algebra I ◽  
Homotopical Algebra ◽  
Numerical Invariants ◽  
Set Up ◽  
Lusternik Schnirelmann ◽  
Classical Homotopy

Classically CW-complexes were found to be the best suited objects for studying problems in homotopy theory. Certain numerical invariants associated to a CW-complex X such as the Lusternik-Schnirelmann Category of X, the index of nilpotency of ᘯ(X), the cocategory of X, the index of conilpotency of ∑ (X) have been studied by Eckmann, Hilton, Berstein and Ganea, etc. Recently D. G. Quillen [6] has developed homotopy theory for categories satisfying certain axioms. In the axiomatic set up of Quillen the duality observed in classical homotopy theory becomes a self-evident phenomenon, the axioms being so formulated.

Mini-Workshop: New Interactions between Homotopical Algebra and Quantum Field Theory

2017 ◽  
Vol 13 (4) ◽  
pp. 3261-3287
Author(s):  
Marco Benini ◽  
Kasia Rejzner ◽  
Alexander Schenkel ◽  
Christoph Schweigert
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Homotopical Algebra ◽  
New Interactions
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