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Theory and applications of categories
Tome 33 (2018)
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Spans of cospans in a topos
Daniel Cicala ; Kenny Courser
p. 1-22

Actor of a crossed module of Leibniz algebras
José Manuel Casas ; Rafael Fernández-Casado ; Xabier García-Martínez ; Emzar Khmaladze
p. 23-42

On fibrant objects in model categories
Valery Isaev
p. 43-66

Dualizing cartesian and cocartesian fibrations
Clark Barwick ; Saul Glasman ; Denis Nardin
p. 67-94

Contravariance through enrichment
Michael Shulman
p. 95-130

Spans of cospans
Daniel Cicala
p. 131-147

Regular patterns, substitudes, Feynman categories and operads
Michael Batanin ; Joachim Kock ; Mark Weber
p. 148-192

A construction of certain weak colimits and an exactness property of the 2-category of categories
Descotte M.E. ; Dubuc E.J. ; Szyld M.
p. 192-215

A Brauer-Clifford-Long group for the category of dyslectic Hopf Yetter-Drinfel'd (S,H)-module algebras
Thomas Guedenon ; Allen Herman
p. 216-252

Nearly locally presentable categories
L. Positselski ; J. Rosicky
p. 253-264

A characterization of final functors between internal groupoids in exact categories
Alan S. Cigoli
p. 265-275

Generating the algebraic theory of C(X): the case of partially ordered compact spaces
Dirk Hofmann ; Renato Neves ; Pedro Nora
p. 276-295

On the normally ordered tensor product and duality for Tate objects
O. Braunling ; M. Groechenig ; A. Heleodoro ; J. Wolfson
p. 296-349

Revisiting the canonicity of canonical triangulations
Moritz Groth
p. 350-389

Pseudo-Kan extensions and descent theory
Fernando Lucatelli Nunes
p. 390-444

Lax pullback complements and pullbacks of spans
Seyed Naser Hosseini ; Walter Tholen ; Leila Yeganeh
p. 445-475

Double power monad preserving adjunctions are Frobenius
Christopher Townsend
p. 476-491

Regularity vs. constructive complete (co)distributivity
Hongliang Lai ; Lili Shen
p. 492-522

Stability for inner fibrations revisited
Danny Stevenson
p. 523-536

Higher isotropy
J. Funk ; P. Hofstra ; S. Khan
p. 537-582

Theory of interleavings on categories with a flow
V. de Silva ; E. Munch ; A. Stefanou
p. 583-607

Decorated corelations
Brendan Fong
p. 608-643

A parallel section functor for 2-vector bundles
Christoph Schweigert ; Lukas Woike
p. 644-690

Spheres as Frobenius objects
Djordje Baralic ; Zoran Petric ; Sonja Telebakovic
p. 691-726

Props in network theory
John C. Baez ; Brandon Coya ; Franciscus Rebro
p. 727-783

Spark complexes on good effective orbifold atlases categorically
Cheng-Yong Du ; Lili Shen ; Xiaojuan Zhao
p. 784-812

The Ehresmann-Schein-Nambooripad Theorem for inverse categories
Darien DeWolf ; Dorette Pronk
p. 813-831

On the geometric notion of connection and its expression in tangent categories
Rory B. B. Lucyshyn-Wright
p. 832-866

Crossed products of crossed modules of Hopf monoids
J.N. Alonso Alvarez ; J.M. Fernandez Vilaboa ; R. Gonzalez Rodriguez
p. 868-897

Coalgebroids in monoidal bicategories and their comodules
Ramon Abud Alcala
p. 898-963

Tube representations and twisting of graded categories
J. Bhowmick ; S. Ghosh ; N. Rakshit ; M. Yamashita
p. 964-987

On a higher structure on operadic deformation complexes
Boris Shoikhet
p. 988-1030

New exactness conditions involving split cubes in protomodular categories
J. R. A. Gray ; N. Martins-Ferreira
p. 1031-1058

$T_0$ topological spaces and $T_0$ posets in the topos of M-sets
M.M. Ebrahimi ; M. Mahmoudi ; A.H. Nejah
p. 1059-1071

A tangent category alternative to the Faa di Bruno construction
Jean-Simon P. Lemay
p. 1072-1110

Polynomials, fibrations and distributive laws
Tamara von Glehn
p. 1111-1144

Linear Distributivity With Negation, Star-Autonomy, and Hopf Monads
Masahito Hasegawa ; Jean-Simon P. Lemay
p. 1145-1157

A compositional framework for passive linear networks
John C. Baez ; Brendan Fong
p. 1158-1222

Coarse-graining open Markov processes
John C. Baez ; Kenny Courser
p. 1223-1268

Category theory for genetics I:mutations and sequence alignments
Remy Tuyeras
p. 1269-1317

The localic isotropy group of a topos
Simon Henry
p. 1318-1345

On finitely aligned left cancellative small categories, Zappa-Szep products and Exel-Pardo algebras
Erik Bedos ; S. Kaliszewski ; John Quigg ; Jack Spielberg
p. 1346-1406
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