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André Joyal: Works & Research

André Joyal (French: ; born 1943) is a professor of mathematics at the Université du Québec à Montréal who works on category theory. He was a member of the School of Mathematics at the Institute for Advanced Study in 2013, where he was invited to join the Special Year on Univalent Foundations of Mathematics.

Language: English [EN]
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André Joyal topic overview

The analysis highlights Works and Research as prominent areas in the source structure around André Joyal.

Related topics
19
Source areas
3
Connected nodes
33
Extracted relationships
79
Concept neighborhoods
18
Bridge connections
33

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Research · 14 topics
Overview · 3 topics
Personal life · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Known for
Quasi-categories Combinatorial species Joyal model structure Kripke–Joyal semantics
Born
(1943-02-25) February 25, 1943 (age 83) Drummondville, Quebec, Canada
Fields
Category theory Homotopy theory
Workplaces
Université du Québec à Montréal

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Research

Personal life

Bibliography

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How André Joyal connects Entity context

The extracted context around André Joyal shows recurring relationship patterns in the source. For example, André Joyal → Advances, Algebra, Algebraic, American Mathematical Society, An, André, Applied Algebra, BFb0084222, BFb0084235, Braided Tensor Categories, Cahiers, Cambridge Philosophical Society, Cambridge Univ, Categories, Category Theory, Contemporary Mathematics, CRM Barcelona, CT/0305049, Disks, Dominic Another extracted example is André Joyal → French, Interview, Mathematics Genealogy Project, UQAMAndré Joyal, Web. Use these groups to spot repeated connection types before inspecting the individual relationships.

André Joyal

Top relations

related to Bibliography · 70
André Joyal → Advances, Algebra, Algebraic, American Mathematical Society, An, André, Applied Algebra, BFb0084222, BFb0084235, Braided Tensor Categories, Cahiers, Cambridge Philosophical Society, Cambridge Univ, Categories, Category Theory, Contemporary Mathematics, CRM Barcelona, CT/0305049, Disks, Dominic
related to External links · 5
André Joyal → French, Interview, Mathematics Genealogy Project, UQAMAndré Joyal, Web
Born · 1
André Joyal → (1943-02-25) February 25, 1943 (age 83) Drummondville, Quebec, Canada
Fields · 1
André Joyal → Category theory Homotopy theory
Known for · 1
André Joyal → Quasi-categories Combinatorial species Joyal model structure Kripke–Joyal semantics
Workplaces · 1
André Joyal → Université du Québec à Montréal

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

joyal andré doi theory 10 mathematics category myles tierney street quasi-categories isbn categories ross born mathematical algebra 1016 pp 1991

André Joyal relationships Subject–Predicate–Object triples

TTTA extracted 79 structured relationships around André Joyal. Examples in this analysis include André Joyal → Born → (1943-02-25) February 25, 1943 (age 83) Drummondville, Quebec, Canada and André Joyal → Fields → Category theory Homotopy theory. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
André JoyalBorn(1943-02-25) February 25, 1943 (age 83) Drummondville, Quebec, Canada1.00infobox
André JoyalFieldsCategory theory Homotopy theory1.00infobox
André JoyalKnown forQuasi-categories Combinatorial species Joyal model structure Kripke–Joyal semantics1.00infobox
André JoyalWorkplacesUniversité du Québec à Montréal1.00infobox
André Joyalrelated to BibliographyLock-green0.60section
André Joyalrelated to BibliographyLock-gray-alt-20.60section
André Joyalrelated to BibliographyLock-red-alt-20.60section
André Joyalrelated to BibliographyWikisource-logo0.60section
André Joyalrelated to BibliographyJoyal0.60section
André Joyalrelated to BibliographyAndré0.60section
André Joyalrelated to BibliographyTierney0.60section
André Joyalrelated to BibliographyMyles0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around André Joyal bring nearby vocabulary together. In this analysis, examples include Joyal, Ross and Myles. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • André Joyal
    • Joyal
    • Ross
    • Myles
    • Street
    • Tierney
    • Theory
    • Pdf
    • Font-size
    • Mw-parser-output
    • Spaces
    • Tensor
    • Categories
  • andré joyal
    • Joyal
    • Ross
    • Myles
    • Street
    • Tierney
    • Theory
    • Pdf
    • Quasi-categories
    • Categories
    • Category
    • Born
    • Spaces
  • kripke–joyal semantics
    • Myles
    • Street
    • Tierney
    • Ross
    • Theory
    • Quasi-categories
    • Categories
    • Category
    • Born
    • Pdf
    • Spaces
    • Tensor
  • joyal model structure
    • Myles
    • Street
    • Tierney
    • Ross
    • Theory
    • Quasi-categories
    • Categories
    • Category
    • Born
    • Pdf
    • Spaces
    • Tensor
  • category theory
    • Theory
    • Myles
    • Tierney
    • Du
    • Montréal
    • Québec
    • References
    • Université
    • Quasi-categories
    • Joyal
    • Mathematics
    • Drummondville
  • higher category theory
    • Theory
    • Myles
    • Tierney
    • Du
    • Montréal
    • Québec
    • References
    • Université
    • Quasi-categories
    • Joyal
    • Mathematics
    • Drummondville
  • université du québec à montréal
    • Du
    • Montréal
    • Québec
    • References
    • Université
    • Born
    • Drummondville
    • Font-size
    • Mw-parser-output
    • Category
    • Quasi-categories
    • Theory
  • myles tierney
    • Tierney
    • Theory
    • Spaces
    • Quasi-categories
    • Québec
    • References
    • Université
    • Notes
    • Pdf
    • Isbn

Connections between topic areas Semantic bridges

For André Joyal, one of the stronger structural bridges in this analysis connects André Joyal with Research. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
André Joyal — Research · splits 19 ⟂ 15
André Joyal — Bibliography · splits 23 ⟂ 11
André Joyal — Overview · splits 30 ⟂ 4
André Joyal — Personal life · splits 31 ⟂ 3

Map overview Semantic statistics

André Joyal

Nodes34
Edges33
Triples79
Avg. degree1.94
Density0.058824
Components1

Source & methodology

TTTA analyzes the structure around André Joyal to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Works & Research, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — André Joyal · EN edition · Analysis: TopicsToTalkAbout

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