Francis Borceux

3.3k citations
74 papers · 1.7k indexed · 1 hit paper · h-index 19
Topics
Homotopy and Cohomology in Algebraic Topology (42 papers)Algebraic structures and combinatorial models (24 papers)Advanced Algebra and Logic (22 papers)
Journals
SHILAP Revista de lepidopterologíaLecture notes in mathematicsAdvances in Mathematics
Partner nations
BelgiumItalyAustralia

In The Last Decade

Francis Borceux

64 papers receiving 1.4k citations

Hit Papers

Handbook of Categorical Algebra19942026200420151994100200300400500

Peers

Francis Borceux
Comparison fields: 5 of 60
  • Mathematical Physics 1.1k
  • Geometry and Topology 1.0k
  • Algebra and Number Theory 829
  • Computational Theory and Mathematics 553
  • Artificial Intelligence 369
Replace Bernhard Banaschewski with:
Bernhard Banaschewski Canada
Ieke Moerdijk Netherlands
Ross Street Australia
George Janelidze Georgia
G. M. Kelly Australia
F. William Lawvere United States
Michael Makkai Canada
J. Lambek Canada
Walter Tholen Canada
Peter Freyd United States
Francis Borceux relative to Bernhard Banaschewski Canada Bernhard Banaschewski's profile →
Citations per field
00.5×3.3×
Bernhard Banaschewski · 1×
Citations per year

Countries citing papers authored by Francis Borceux

Since Specialization
Citations

This map shows the geographic impact of Francis Borceux's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Francis Borceux with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Francis Borceux more than expected).

Fields of papers citing papers by Francis Borceux

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Francis Borceux. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Francis Borceux. The network helps show where Francis Borceux may publish in the future.

Co-authorship network of co-authors of Francis Borceux

This figure shows the co-authorship network connecting the top 25 collaborators of Francis Borceux. A scholar is included among the top collaborators of Francis Borceux based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Francis Borceux. Francis Borceux is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
#WorkIndexed citations
1
On filtered weighted colimits of presheaves
1
2
Initial normal covers in bi-Heyting toposes
4
3
Internal object actions
56
4 3
5 38
6
On regular presheaves and regular semi-categories
7
7 5
8
Skew $\Omega $-sets coincide with $\Omega $-posets
9
9
A theory of enriched sheaves
13
10
Categories of sheaves
3
11
Categories and structures
18
12 2
13
Quantales and C-star-algebras
19
14
On primeness and maximality of filters
1
15 11
16 2
17
Cauchy completion in category theory
14
18 4
19
When is $\Omega $ a cogenerator in a topos ?
1
20
Complétion universelle des catégories
1

About Francis Borceux

Francis Borceux is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology, having authored 74 papers that have together received 1.7k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (42 papers), Algebraic structures and combinatorial models (24 papers) and Advanced Algebra and Logic (22 papers). The work is most often cited by research in Algebra and Number Theory (829 citations), Mathematical Physics (1.1k citations) and Geometry and Topology (1.0k citations). Francis Borceux has collaborated with scholars based in Belgium, Italy and Australia. Frequent co-authors include Dominique Bourn, George Janelidze, Jir̆ı́ Rosický, Maria Manuel Clementino, G. M. Kelly, Jiřı́ Adámek, E. M. Vitale, Maria Cristina Pedicchio, Marino Gran and Stephen Lack. Their work appears in journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Advances in Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Rankless by CCL
2026