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Theory and applications of categories
Tome 32 (2017)
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A structure theorem for quasi-Hopf bimodule coalgebras
Daniel Bulacu
p. 1-30

Simplicial Nerve of an $A_\infty$-category
Giovanni Faonte
p. 31-52

C-systems defined by universe categories: presheaves
Vladimir Voevodsky
p. 53-112

The $(\Pi,\lambda)$-structures on the C-systems defined by universe categories
Vladimir Voevodsky
p. 113-121

Bourn-normal monomorphisms in regular Mal'tsev categories
Giuseppe Metere
p. 122-147

Homotopy theory for algebras over polynomial monads
M. A. Batanin ; C. Berger
p. 148-253

A note on injective hulls of posemigroups
Changchun Xia ; Shengwei Han ; Bin Zhao
p. 253-257

Witt vectors and truncation posets
Vigleik Angeltveit
p. 258-285

Classifying tangent structures using Weil algebras
Poon Leung
p. 286-337

KZ-monadic categories and their logic
Jiri Adamek ; Lurdes Sousa
p. 338-379

Corelations are the prop for extraspecial commutative Frobenius monoids
Brandon Coya ; Brendan Fong
p. 380-395

Monoid-like definitions of cyclic operad
Jovana Obradovic
p. 396-436

Building a model category out of multiplier ideal sheaves
Seunghun Lee
p. 437-487

A categorical approach to Picard-Vessiot theory
Andreas Maurischat
p. 488-525

Epireflective subcategories and formal closure operators
Mathieu Duckerts-Antoine ; Marino Gran ; Zurab Janelidze
p. 526-546

Algebraic databases
Patrick Schultz ; David I. Spivak ; Christina Vasilakopoulou ; Ryan Wisnesky
p. 547-619

The two out of three property in ind-categories and a convenient model category of spaces
Ilan Barnea
p. 620-651

Frobenius algebras and homotopy fixed points of group actions on bicategories
Jan Hesse ; Christoph Schweigert ; Alessandro Valentino
p. 652-681

A presentation of bases for parametrized iterativity
Jiri Adamek ; Stefan Milius ; Jiri Velebil
p. 682-718

Closure operators in abelian categories and spectral spaces
Abhishek Banerjee
p. 719-735

Lax distributive laws for topology, II
Hongliang Lai ; Lili Shen ; Walter Tholen
p. 736-768

A property of effectivization and its uses in categorical logic
Vasileios Aravantinos-Sotiropoulos ; Panagis Karazeris
p. 769-779

Levi categories and graphs of groups
Mark V. Lawson ; Alistair R. Wallis
p. 780-802

Metric spaces and SDG
Anders Kock
p. 803-822

A unifying approach to the acyclic models method and other lifting lemmas
Leonard Guetta
p. 823-834

Connections in tangent categories
J.R.B. Cockett ; G.S.H. Cruttwell
p. 835-888

Biextensions, bimonoidal functors, multilinear functor calculus, and categorical rings
Ettore Aldrovandi
p. 889-969

A Urysohn type lemma for groupoids
Madalina Roxana Buneci
p. 970-994

A bicategory of decorated cospans
Kenny Courser
p. 985-1027

The canonical 2-gerbe of a holomorphic vector bundle
Markus Upmeier
p. 1028-1049

Classifiers for monad morphisms and adjunction morphisms
Dimitri Zaganidis
p. 1050-1097

Free objects over posemigroups in the category PoSgr_v
Shengwei Han ; Changchun Xia ; Xiaojuan Gu
p. 1098-1106

Combinatorics of past-similarity in higher dimensional transition systems
Philippe Gaucher
p. 1107-1164

A Dold-Kan theorem for simplicial Lie algebras
P. Carrasco ; A.M. Cegarra
p. 1165-1212

Localization of enriched categories and cubical sets
Tyler Lawson
p. 1213-1221

Coexponentiability and Projectivity: Rigs, Rings, and Quantales
S.B. Niefield ; R.J. Wood
p. 1222-1228

Hopf polyads, Hopf categories and Hopf group monoids viewed as Hopf monads
Gabriella Böhm
p. 1229-1257

Fibered multiderivators and (co)homological descent
Fritz Hörmann
p. 1258-1362

Kan's combinatorial spectra and their sheaves revisited
Ruian Chen ; Igor Kriz ; Ales Pultr
p. 1363-1396

Operads and phylogenetic trees
John C. Baez ; Nina Otter
p. 1397-1453

Topological properties of non-Archimedean approach spaces
Eva Colebunders ; Karen Van Opdenbosch
p. 1454-1484

Mal'tsev objects, $R_1$-spaces and ultrametric spaces
Thomas Weighill
p. 1485-1500

Action representability via spans and prefibrations
J. R. A. Gray
p. 1501-1521

Approximate categorical structures
Abdelkrim Aliouche ; Carlos Simpson
p. 1522-1562

Stability properties characterising n-permutable categories
Pierre-Alain Jacqmin ; Diana Rodelo
p. 1563-1587

A characterization of the Huq commutator
Vaino Tuhafeni Shaumbwa
p. 1588-1600
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