Gerald Beer

4.1k total citations · 1 hit paper
150 papers, 2.7k citations indexed

About

Gerald Beer is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Gerald Beer has authored 150 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 115 papers in Geometry and Topology, 84 papers in Mathematical Physics and 55 papers in Computational Theory and Mathematics. Recurrent topics in Gerald Beer's work include Advanced Topology and Set Theory (103 papers), Advanced Banach Space Theory (61 papers) and Optimization and Variational Analysis (46 papers). Gerald Beer is often cited by papers focused on Advanced Topology and Set Theory (103 papers), Advanced Banach Space Theory (61 papers) and Optimization and Variational Analysis (46 papers). Gerald Beer collaborates with scholars based in United States, Italy and Spain. Gerald Beer's co-authors include Roberto Lucchetti, Sandro Levi, Jonathan M. Borwein, Hédy Attouch, S. A. Naimpally, Roger J.‐B. Wets, R. T. Rockafellar, C. J. Himmelberg, F. S. Van Vleck and Petar S. Kenderov and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Mathematical Programming and Transactions of the American Mathematical Society.

In The Last Decade

Gerald Beer

139 papers receiving 2.2k citations

Hit Papers

Topologies on Closed and Closed Convex Sets 1993 2026 2004 2015 1993 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Topologies on Closed and Closed Convex Sets
    1993 596 citations Gerald Beer profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gerald Beer United States 27 1.7k 1.3k 1.1k 539 451 150 2.7k
Sam B. Nadler United States 15 2.7k 1.6× 854 0.6× 1.2k 1.0× 804 1.5× 257 0.6× 81 3.4k
Joseph Diestel United States 14 760 0.4× 2.6k 1.9× 956 0.8× 1.9k 3.5× 99 0.2× 25 3.4k
R. Daniel Mauldin United States 27 965 0.6× 2.2k 1.6× 623 0.5× 504 0.9× 70 0.2× 130 2.9k
Robert F. Tichy Austria 20 573 0.3× 538 0.4× 610 0.5× 230 0.4× 125 0.3× 146 2.0k
Stephen Wainger United States 30 397 0.2× 1.6k 1.2× 470 0.4× 3.0k 5.5× 261 0.6× 83 3.6k
A. Pełczyński Poland 29 1.1k 0.6× 2.9k 2.1× 550 0.5× 1.8k 3.4× 111 0.2× 78 3.6k
Jean‐Paul Penot France 28 886 0.5× 554 0.4× 2.3k 2.0× 916 1.7× 153 0.3× 144 2.7k
Jens Peter Christensen Denmark 15 457 0.3× 777 0.6× 334 0.3× 614 1.1× 92 0.2× 41 1.6k
Marek Kuczma Poland 14 504 0.3× 624 0.5× 350 0.3× 1.3k 2.3× 126 0.3× 100 2.1k
Isaac Namioka United States 8 462 0.3× 582 0.4× 346 0.3× 255 0.5× 105 0.2× 14 1.1k

Countries citing papers authored by Gerald Beer

Since Specialization
Citations

This map shows the geographic impact of Gerald Beer'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 Gerald Beer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerald Beer more than expected).

Fields of papers citing papers by Gerald Beer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald Beer. 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 Gerald Beer. The network helps show where Gerald Beer may publish in the future.

Co-authorship network of co-authors of Gerald Beer

This figure shows the co-authorship network connecting the top 25 collaborators of Gerald Beer. A scholar is included among the top collaborators of Gerald Beer 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 Gerald Beer. Gerald Beer 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.
Beer, Gerald, et al.. (2014). Convergence of partial maps. Journal of Mathematical Analysis and Applications. 419(2). 1274–1289. 2 indexed citations
2.
Beer, Gerald, et al.. (2013). Gap topologies in metric spaces. Topology and its Applications. 160(18). 2285–2308.
3.
Beer, Gerald, et al.. (2012). The Alexandroff one-point compactification as a prototype for extensions. Advances in Mathematics. 231(3-4). 1598–1618.
4.
Beer, Gerald. (2011). Ekeland's theorem and UC spaces. Optimization. 62(1). 1–8. 2 indexed citations
5.
Beer, Gerald, et al.. (2011). Total boundedness in metrizable spaces. Houston journal of mathematics. 37(2009). 1347–1362. 5 indexed citations
6.
Beer, Gerald, et al.. (2008). Pseudometrizable bornological convergence is Attouch-Wets convergence. BOA (University of Milano-Bicocca). 15(2). 439–453. 20 indexed citations
7.
Beer, Gerald, et al.. (1994). The infimal value functional and the uniformization of hit-and-miss hyperspace topologies. Proceedings of the American Mathematical Society. 122(2). 601–612. 15 indexed citations
8.
Beer, Gerald & Roberto Lucchetti. (1993). Weak topologies for the closed subsets of a metrizable space. Transactions of the American Mathematical Society. 335(2). 805–822. 41 indexed citations
9.
Beer, Gerald, R. T. Rockafellar, & Roger J.‐B. Wets. (1992). A characterization of epi-convergence in terms of convergence of level sets. Proceedings of the American Mathematical Society. 116(3). 753–761. 30 indexed citations
10.
Beer, Gerald, et al.. (1991). A generalization of boundedly compact metric spaces. Commentationes Mathematicae Universitatis Carolinae. 32(2). 361–367. 6 indexed citations
11.
Beer, Gerald. (1990). Conjugate convex functions and the epi-distance topology. Proceedings of the American Mathematical Society. 108(1). 117–117. 54 indexed citations
12.
Beer, Gerald & Jonathan M. Borwein. (1990). Mosco convergence and reflexivity. Proceedings of the American Mathematical Society. 109(2). 427–436. 32 indexed citations
13.
Beer, Gerald & Roberto Lucchetti. (1989). Minima of quasi-convex functions. Optimization. 20(5). 581–596. 15 indexed citations
14.
Beer, Gerald. (1988). UC Spaces Revisited. American Mathematical Monthly. 95(8). 737–739. 3 indexed citations
15.
Beer, Gerald & Petar S. Kenderov. (1988). On the ARG MIN multifunction for lower semicontinuous functions. Proceedings of the American Mathematical Society. 102(1). 107–113. 14 indexed citations
16.
Beer, Gerald, et al.. (1988). Borel measures and Hausdorff distance. Transactions of the American Mathematical Society. 307(2). 763–772. 3 indexed citations
17.
Beer, Gerald. (1985). Metric spaces on which continuous functions are uniformly continuous and Hausdorff distance. Proceedings of the American Mathematical Society. 95(4). 653–658. 51 indexed citations
18.
Beer, Gerald. (1983). On Functions that Approximate Relations. Proceedings of the American Mathematical Society. 88(4). 643–643. 1 indexed citations
19.
Beer, Gerald. (1982). Cone lattices of upper semicontinuous functions. Proceedings of the American Mathematical Society. 86(1). 81–84. 2 indexed citations
20.
Beer, Gerald. (1981). Which connected metric spaces are compact?. Proceedings of the American Mathematical Society. 83(4). 807–811. 6 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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