Gerhard Herden

662 total citations
35 papers, 418 citations indexed

About

Gerhard Herden is a scholar working on Geometry and Topology, Economics and Econometrics and Computational Theory and Mathematics. According to data from OpenAlex, Gerhard Herden has authored 35 papers receiving a total of 418 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 11 papers in Economics and Econometrics and 10 papers in Computational Theory and Mathematics. Recurrent topics in Gerhard Herden's work include Advanced Topology and Set Theory (12 papers), Economic theories and models (10 papers) and Rough Sets and Fuzzy Logic (7 papers). Gerhard Herden is often cited by papers focused on Advanced Topology and Set Theory (12 papers), Economic theories and models (10 papers) and Rough Sets and Fuzzy Logic (7 papers). Gerhard Herden collaborates with scholars based in Germany, Italy and Australia. Gerhard Herden's co-authors include Gianni Bosi, Ghanshyam B. Mehta, Esteban Induráin, Juan C. Candeal, Alan F. Beardon, Manfred Dugas and Vladimir Levin and has published in prestigious journals such as Journal of Multivariate Analysis, Israel Journal of Mathematics and Economic Theory.

In The Last Decade

Gerhard Herden

34 papers receiving 384 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gerhard Herden Germany	13	192	186	147	86	84	35	418
Ghanshyam B. Mehta Australia	13	176 0.9×	179 1.0×	253 1.7×	65 0.8×	120 1.4×	50	512
Gianni Bosi Italy	12	146 0.8×	217 1.2×	133 0.9×	46 0.5×	111 1.3×	65	415
Roger Purves United States	7	66 0.3×	101 0.5×	117 0.8×	84 1.0×	87 1.0×	18	426
Thomas E. Armstrong United States	11	86 0.4×	67 0.4×	116 0.8×	116 1.3×	68 0.8×	32	319
Carlos Hervés‐Beloso Spain	13	52 0.3×	41 0.2×	309 2.1×	117 1.4×	76 0.9×	39	457
William A. Webb United States	9	54 0.3×	77 0.4×	164 1.1×	29 0.3×	127 1.5×	37	392
Karel Prikry United States	15	579 3.0×	387 2.1×	60 0.4×	343 4.0×	54 0.6×	62	773
John V. Ryff United States	10	91 0.5×	69 0.4×	31 0.2×	172 2.0×	46 0.5×	15	473
Jiling Cao New Zealand	9	121 0.6×	100 0.5×	87 0.6×	66 0.8×	89 1.1×	58	302
Gyula Maksa Hungary	12	45 0.2×	52 0.3×	29 0.2×	86 1.0×	41 0.5×	40	317

Countries citing papers authored by Gerhard Herden

Since Specialization

Citations

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

Fields of papers citing papers by Gerhard Herden

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gerhard Herden

This figure shows the co-authorship network connecting the top 25 collaborators of Gerhard Herden. A scholar is included among the top collaborators of Gerhard Herden 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 Gerhard Herden. Gerhard Herden is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Herden, Gerhard & Vladimir Levin. (2012). Utility representation theorems for Debreu separable preorders. Journal of Mathematical Economics. 48(3). 148–154. 9 indexed citations

Bosi, Gianni & Gerhard Herden. (2005). On a Strong Continuous Analogue of the Szpilrajn Theorem and its Strengthening by Dushnik and Miller. Order. 22(4). 329–342. 16 indexed citations

Herden, Gerhard, et al.. (2004). Adequateness and interpretability of objective functions in ordinal data analysis. Journal of Multivariate Analysis. 94(1). 19–69. 3 indexed citations

Herden, Gerhard, et al.. (2002). Consistency in ordinal data analysis I. Mathematical Social Sciences. 43(1). 79–113. 4 indexed citations

Herden, Gerhard, et al.. (2002). On the continuous analogue of the Szpilrajn Theorem I. Mathematical Social Sciences. 43(2). 115–134. 27 indexed citations

Herden, Gerhard, et al.. (2001). Vergleich von rechnergestützten Programmen zur Bruchrechnung -Nachhilfelehrer Computer-. Journal für Mathematik-Didaktik. 22(1). 5–28.

Herden, Gerhard, et al.. (2001). Interrelations between the Length, the Structure and the Cardinality of a Chain. Order. 18(2). 191–200. 1 indexed citations

Herden, Gerhard, et al.. (2000). Useful topologies and separable systems. Applied General Topology. 1(1). 61–61. 21 indexed citations

Herden, Gerhard, et al.. (2000). Zusammenhänge zwischen verschiedenen Fehlerstrategien in der Bruchrechnung. Journal für Mathematik-Didaktik. 21(3-4). 259–279. 4 indexed citations

10.

Herden, Gerhard & Ghanshyam B. Mehta. (1996). Open gaps, metrization and utility. Economic Theory. 7(3). 541–546. 4 indexed citations

11.

Herden, Gerhard. (1995). On some equivalent approaches to Mathematical Utility Theory. Mathematical Social Sciences. 29(1). 19–31. 9 indexed citations

12.

Herden, Gerhard & Ghanshyam B. Mehta. (1994). The continuous analogue and generalization of the classical Birkhoff-Milgram theorem. Mathematical Social Sciences. 28(1). 59–66. 2 indexed citations

13.

Herden, Gerhard. (1991). Topological spaces for which every continuous total preorder can be represented by a continuous utility function. Mathematical Social Sciences. 22(2). 123–136. 27 indexed citations

14.

Herden, Gerhard. (1989). On the existence of utility functions ii. Mathematical Social Sciences. 18(2). 107–117. 47 indexed citations

15.

Herden, Gerhard. (1989). On the existence of utility functions. Mathematical Social Sciences. 17(3). 297–313. 47 indexed citations

16.

Herden, Gerhard. (1984). The Approximation of Arbitrary Clustering Functions by Clustering Functions which Satisfy Overlapping Criteria. SIAM Journal on Algebraic and Discrete Methods. 5(4). 497–507. 2 indexed citations

17.

Dugas, Manfred & Gerhard Herden. (1983). Arbitrary torsion classes and almost free abelian groups. Israel Journal of Mathematics. 44(4). 322–334. 4 indexed citations

18.

Dugas, Manfred & Gerhard Herden. (1983). Arbitrary torsion classes of abelian groups^*. Communications in Algebra. 11(13). 1455–1472. 8 indexed citations

19.

Herden, Gerhard, et al.. (1983). Eine Untersuchung zur Diskussion über Schwierigkeiten im Umgang mit dem Konvergenzbegriff. Journal für Mathematik-Didaktik. 4(4). 263–305. 2 indexed citations

20.

Herden, Gerhard. (1980). The lattice (,⊂) of arbitrary torsion classes for mod-r. Communications in Algebra. 8(15). 1469–1492. 4 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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