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Indexed Categories and Their Applications

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bfb0004499openalex-snapshot
Optimization and Optimal Control
inferredcites →https://doi.org/10.1007/bfb0062913openalex-snapshot
Hyperfunctions and Theoretical Physics
inferredcites →https://doi.org/10.1007/bfb0062936openalex-snapshot
Tableau Systems for First Order Number Theory and Certain Higher Order Theories
inferredcites →https://doi.org/10.1007/bfb0063298openalex-snapshot
Kommutative algebraische Gruppen und Ringe
inferredcites →https://doi.org/10.1007/bfb0068574openalex-snapshot
Probabilistic Methods in Differential Equations
inferredcites →https://doi.org/10.1007/bfb0097059openalex-snapshot
Minimum Norm Extremals in Function Spaces: With Applications to Classical and Modern Analysis
inferredcites →https://doi.org/10.1090/conm/091openalex-snapshot
Commutative Harmonic Analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/aima.2000.1947openalex-snapshot
Distribution Algebras and Duality
inferred← citeshttps://doi.org/10.1007/3-540-16816-8_38openalex-snapshot
What is a model? A consumer's perspective on semantic theory
inferred← citeshttps://doi.org/10.1007/3-540-17162-2_137openalex-snapshot
Internal completeness of categories of domains
inferred← citeshttps://doi.org/10.1007/3-540-18508-9_18openalex-snapshot
Polymorphism is set theoretic, constructively
inferred← citeshttps://doi.org/10.1007/3-540-18508-9_19openalex-snapshot
An equational presentation of higher order logic
inferred← citeshttps://doi.org/10.1007/3-540-51722-7_6openalex-snapshot
Foundations are rich institutions, but institutions are poor foundations
inferred← citeshttps://doi.org/10.1007/3-540-54507-7_14openalex-snapshot
Logical fiberings and polycontextural systems
inferred← citeshttps://doi.org/10.1007/3-540-56379-2_41openalex-snapshot
New concepts of amalgamation and extension for a general theory of specifications
inferred← citeshttps://doi.org/10.1007/3-540-57182-5_3openalex-snapshot
Deliverables: a categorical approach to program development in type theory
inferred← citeshttps://doi.org/10.1007/bfb0061824openalex-snapshot
Sheaves and logic
inferred← citeshttps://doi.org/10.1007/bfb0065272openalex-snapshot
Injectives in topoi, I: Representing coalgebras as algebras
inferred← citeshttps://doi.org/10.1007/bfb0065273openalex-snapshot
Injectives in Topoi, II: Connections with the axiom of choice
inferred← citeshttps://doi.org/10.1016/0021-8693(87)90093-7openalex-snapshot
Families parametrized by coalgebras
inferred← citeshttps://doi.org/10.1016/0022-4049(82)90083-4openalex-snapshot
Continuous categories and exponentiable toposes
inferred← citeshttps://doi.org/10.1016/0022-4049(84)90016-1openalex-snapshot
Cofibrations in the bicategory of topoi
inferred← citeshttps://doi.org/10.1016/0022-4049(86)90056-3openalex-snapshot
Functions on universal algebras
inferred← citeshttps://doi.org/10.1016/0022-4049(86)90148-9openalex-snapshot
Cofibrations II: Left exact right actions and composition of Gamuts
inferred← citeshttps://doi.org/10.1016/0022-4049(95)00029-1openalex-snapshot
Avoiding the axiom of choice in general category theory
inferred← citeshttps://doi.org/10.1016/0022-4049(95)00150-6openalex-snapshot
Spreads and the symmetric topos
inferred← citeshttps://doi.org/10.1016/0168-0072(88)90018-8openalex-snapshot
A small complete category
inferred← citeshttps://doi.org/10.1016/0168-0072(94)00035-2openalex-snapshot
On completeness and cocompleteness in and around small categories
inferred← citeshttps://doi.org/10.1016/0304-3975(91)90085-gopenalex-snapshot
Some fundamental algebraic tools for the semantics of computation: Part 3. indexed categories
inferred← citeshttps://doi.org/10.1016/0304-3975(94)90110-4openalex-snapshot
Functorial theory of a parameterized specifications in a general specification framework
inferred← citeshttps://doi.org/10.1016/0890-5401(92)90024-aopenalex-snapshot
Categorical models of polymorphism
inferred← citeshttps://doi.org/10.1016/j.aim.2017.10.039openalex-snapshot
An embedding theorem for tangent categories
inferred← citeshttps://doi.org/10.1016/j.apal.2018.11.002openalex-snapshot
Comparing material and structural set theories
inferred← citeshttps://doi.org/10.1016/j.exmath.2019.02.004openalex-snapshot
Categorical notions of fibration
inferred← citeshttps://doi.org/10.1016/j.jpaa.2013.11.002openalex-snapshot
Fibred 2-categories and bicategories
inferred← citeshttps://doi.org/10.1016/j.tcs.2003.10.030openalex-snapshot
Interpolation in Grothendieck Institutions
inferred← citeshttps://doi.org/10.1016/s0022-4049(96)00108-9openalex-snapshot
A presentation of the initial lift-algebra
inferred← citeshttps://doi.org/10.1016/s0022-4049(96)00165-xopenalex-snapshot
Cartesian monads on toposes
inferred← citeshttps://doi.org/10.1016/s0022-4049(97)00090-xopenalex-snapshot
Continuous families of coalgebras
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70559-2openalex-snapshot
Some Aspects of Categorical Semantics: Sheaves and Glueing
inferred← citeshttps://doi.org/10.1016/s0168-0072(96)00051-6openalex-snapshot
On the semantics of the universal quantifier
inferred← citeshttps://doi.org/10.1016/s0304-3975(01)00361-9openalex-snapshot
Logical foundations of CafeOBJ
inferred← citeshttps://doi.org/10.1016/s1874-5857(09)70018-4openalex-snapshot
Lambda-Calculus and Combinators in the 20th Century
inferred← citeshttps://doi.org/10.1017/cbo9781139193313.003openalex-snapshot
Classical and Quantum Structuralism
inferred← citeshttps://doi.org/10.1017/s0305004100057534openalex-snapshot
Tripos theory
inferred← citeshttps://doi.org/10.1017/s0305004100061284openalex-snapshot
Locally cartesian closed categories and type theory
inferred← citeshttps://doi.org/10.1017/s0305004100068365openalex-snapshot
An application of descent to a classification theorem for toposes
inferred← citeshttps://doi.org/10.1017/s096012950200364xopenalex-snapshot
Tripos theory in retrospect
inferred← citeshttps://doi.org/10.1017/s0960129513000868openalex-snapshot
Theories of analytic monads
inferred← citeshttps://doi.org/10.1017/s0960129514000516openalex-snapshot
W-types in homotopy type theory
inferred← citeshttps://doi.org/10.1017/s0960129520000092openalex-snapshot
Indexed type theories
inferred← citeshttps://doi.org/10.1017/s0960129525100303openalex-snapshot
Objective Mackey and Tambara functors via parametrized categories
inferred← citeshttps://doi.org/10.1017/s0960129598002606openalex-snapshot
Abstract and behaviour module specifications
inferred← citeshttps://doi.org/10.1080/00927878208822709openalex-snapshot
Elements of free modules in topoi∗
inferred← citeshttps://doi.org/10.1109/lics.1989.39155openalex-snapshot
Computational lambda-calculus and monads
inferred← citeshttps://doi.org/10.2307/2273784openalex-snapshot
Fibered categories and the foundations of naive category theory
inferred← citeshttps://doi.org/10.3103/s1066369x07090010openalex-snapshot
Poincaré conjecture and related statements
inferred← citeshttps://doi.org/10.48550/arxiv.2006.10890openalex-snapshot
Diagrams, Fibrations, and the Decomposition of Colimits
inferred← citeshttps://doi.org/10.5109/13349openalex-snapshot
AN ABSTRACT RELATIONAL MODEL AND NATURAL JOIN FUNCTORS
inferred← citeshttps://doi.org/10.6083/nz8060259openalex-snapshot
Categorical programming with functorial strength
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