Francis Borceux

3.3k total citations · 1 hit paper
74 papers, 1.7k citations indexed

About

Francis Borceux is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Francis Borceux has authored 74 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Mathematical Physics, 38 papers in Geometry and Topology and 30 papers in Algebra and Number Theory. Recurrent topics in Francis Borceux's work include Homotopy and Cohomology in Algebraic Topology (42 papers), Algebraic structures and combinatorial models (24 papers) and Advanced Algebra and Logic (22 papers). Francis Borceux is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (42 papers), Algebraic structures and combinatorial models (24 papers) and Advanced Algebra and Logic (22 papers). Francis Borceux collaborates with scholars based in Belgium, Italy and Australia. Francis Borceux's 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 and has published in prestigious journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Advances in Mathematics.

In The Last Decade

Francis Borceux

64 papers receiving 1.4k citations

Hit Papers

Handbook of Categorical Algebra 1994 2026 2004 2015 1994 100 200 300 400 500

Peers

Francis Borceux
Ieke Moerdijk Netherlands
F. William Lawvere United States
G. M. Kelly Australia
Peter Freyd United States
Stephen Lack Australia
Ross Street Australia
Francis Borceux
Citations per year, relative to Francis Borceux Francis Borceux (= 1×) peers Walter Tholen

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
1.
Borceux, Francis & Jir̆ı́ Rosický. (2008). On filtered weighted colimits of presheaves. French digital mathematics library (Numdam). 49(4). 243–266. 1 indexed citations
2.
Borceux, Francis, Dominique Bourn, & Peter Johnstone. (2006). Initial normal covers in bi-Heyting toposes. Archivum Mathematicum. 42(4). 335–356. 4 indexed citations
3.
Borceux, Francis, et al.. (2005). Internal object actions. Commentationes Mathematicae Universitatis Carolinae. 46(2). 235–255. 56 indexed citations
4.
Borceux, Francis & Jir̆ı́ Rosický. (2004). On von Neumann varieties. Theory and applications of categories. 13(6). 5–26. 3 indexed citations
5.
Borceux, Francis & Maria Manuel Clementino. (2004). Topological semi-abelian algebras. Advances in Mathematics. 190(2). 425–453. 38 indexed citations
6.
Moens, Maarten, et al.. (2002). On regular presheaves and regular semi-categories. French digital mathematics library (Numdam). 43(3). 163–190. 7 indexed citations
7.
Borceux, Francis & Maria Cristina Pedicchio. (1999). Left exact presheaves on a small pretopos. Journal of Pure and Applied Algebra. 135(1). 9–22. 5 indexed citations
8.
Borceux, Francis, et al.. (1998). Skew $\Omega $-sets coincide with $\Omega $-posets. French digital mathematics library (Numdam). 39(3). 205–220. 9 indexed citations
9.
Borceux, Francis, et al.. (1996). A theory of enriched sheaves. French digital mathematics library (Numdam). 37(2). 145–162. 13 indexed citations
10.
Borceux, Francis. (1994). Categories of sheaves. Cambridge University Press eBooks. 3 indexed citations
11.
Borceux, Francis. (1994). Categories and structures. Cambridge University Press eBooks. 18 indexed citations
12.
Borceux, Francis, et al.. (1994). A Generic Representation Theorem for Non-commutative Rings. Journal of Algebra. 167(2). 291–308. 2 indexed citations
13.
Borceux, Francis, et al.. (1989). Quantales and C-star-algebras. DIAL (Catholic University of Leuven). 40. 398–404. 19 indexed citations
14.
Borceux, Francis & Maria Cristina Pedicchio. (1989). On primeness and maximality of filters. French digital mathematics library (Numdam). 30(2). 167–181. 1 indexed citations
15.
Borceux, Francis, et al.. (1989). A theory of quantal sets. Journal of Pure and Applied Algebra. 62(2). 123–136. 11 indexed citations
17.
Borceux, Francis, et al.. (1986). Cauchy completion in category theory. French digital mathematics library (Numdam). 27(2). 133–146. 14 indexed citations
18.
Borceux, Francis, et al.. (1983). Recovering a frame from its sheaves of algebras. Journal of Pure and Applied Algebra. 28(2). 141–154. 4 indexed citations
19.
Borceux, Francis. (1975). When is $\Omega $ a cogenerator in a topos ?. French digital mathematics library (Numdam). 16(1). 3–15. 1 indexed citations
20.
Borceux, Francis. (1972). Complétion universelle des catégories. French digital mathematics library (Numdam). 13(4). 369–376. 1 indexed citations

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.

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