Friedhelm Waldhausen

3.6k total citations · 1 hit paper
18 papers, 1.5k citations indexed

About

Friedhelm Waldhausen is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Friedhelm Waldhausen has authored 18 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 9 papers in Mathematical Physics and 6 papers in Algebra and Number Theory. Recurrent topics in Friedhelm Waldhausen's work include Homotopy and Cohomology in Algebraic Topology (7 papers), Advanced Topics in Algebra (6 papers) and Geometric and Algebraic Topology (5 papers). Friedhelm Waldhausen is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (7 papers), Advanced Topics in Algebra (6 papers) and Geometric and Algebraic Topology (5 papers). Friedhelm Waldhausen collaborates with scholars based in Germany and United States. Friedhelm Waldhausen's co-authors include Teimuraz Pirashvili, John Rognes, John R. Klein, Bruce Williams, Zbigniew Fiedorowicz and R. M. Vogt and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Mathematische Annalen.

In The Last Decade

Friedhelm Waldhausen

18 papers receiving 1.1k citations

Hit Papers

align trajectories

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.

On Irreducible 3-Manifolds Which are Sufficiently Large

1968 532 citations Friedhelm Waldhausen Annals of Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Friedhelm Waldhausen Germany	12	1.4k	1.0k	250	245	217	18	1.5k
Robion Kirby United States	17	1.5k 1.1×	1.3k 1.2×	233 0.9×	314 1.3×	217 1.0×	27	1.7k
Jerome Levine United States	20	1.3k 0.9×	1.0k 1.0×	139 0.6×	211 0.9×	201 0.9×	52	1.4k
Heiner Zieschang Germany	19	972 0.7×	713 0.7×	148 0.6×	248 1.0×	225 1.0×	69	1.2k
Julius L. Shaneson United States	18	786 0.6×	682 0.7×	137 0.5×	126 0.5×	154 0.7×	55	996
Marc Culler United States	16	1.6k 1.1×	1.2k 1.2×	217 0.9×	465 1.9×	280 1.3×	36	1.6k
Alan W. Reid United States	18	1.1k 0.8×	859 0.8×	173 0.7×	308 1.3×	148 0.7×	89	1.1k
Peter B. Shalen United States	20	1.9k 1.4×	1.5k 1.4×	356 1.4×	508 2.1×	351 1.6×	61	2.0k
Yakov Eliashberg United States	20	1.6k 1.1×	1.1k 1.1×	552 2.2×	236 1.0×	198 0.9×	51	1.7k
Kunio Murasugi Canada	22	1.4k 1.0×	839 0.8×	81 0.3×	640 2.6×	449 2.1×	72	1.6k
William Jaco United States	17	1.3k 1.0×	883 0.8×	239 1.0×	369 1.5×	289 1.3×	44	1.4k

Countries citing papers authored by Friedhelm Waldhausen

Since Specialization

Citations

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

Fields of papers citing papers by Friedhelm Waldhausen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Friedhelm Waldhausen

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

All Works

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18 of 18 papers shown

1.

Waldhausen, Friedhelm, et al.. (2013). Spaces of PL Manifolds and Categories of Simple Maps (AM-186). Princeton University Press eBooks. 1 indexed citations

2.

Waldhausen, Friedhelm, et al.. (2013). Spaces of PL Manifolds and Categories of Simple Maps (AM-186). Princeton University Press eBooks. 11 indexed citations

3.

Waldhausen, Friedhelm, et al.. (2013). Spaces of PL Manifolds and Categories of Simple Maps. PUB – Publications at Bielefeld University (Bielefeld University). 12 indexed citations

4.

Klein, John R., et al.. (2002). The “fundamental theorem” for the algebraic K-theory of spaces: II—the canonical involution. Journal of Pure and Applied Algebra. 167(1). 53–82. 5 indexed citations

5.

Klein, John R., et al.. (2001). The “fundamental theorem” for the algebraic K-theory of spaces: I. Journal of Pure and Applied Algebra. 160(1). 21–52. 9 indexed citations

6.

Waldhausen, Friedhelm. (1996). On the construction of the Kan loop group. Documenta Mathematica. 1. 121–126. 6 indexed citations

7.

Fiedorowicz, Zbigniew, et al.. (1995). MacLane homology and topological Hochschild homology. Mathematische Annalen. 303(1). 149–164. 3 indexed citations

8.

Pirashvili, Teimuraz & Friedhelm Waldhausen. (1992). MacLane homology and topological Hochschild homology. Journal of Pure and Applied Algebra. 82(1). 81–98. 49 indexed citations

9.

Waldhausen, Friedhelm. (1978). Algebraic K-Theory of Generalized Free Products, Part 1. Annals of Mathematics. 108(2). 135–135. 183 indexed citations

10.

Waldhausen, Friedhelm. (1978). Algebraic K-Theory of Generalized Free Products, Part 2. Annals of Mathematics. 108(2). 205–205. 108 indexed citations

11.

Waldhausen, Friedhelm. (1969). Über involutionen der 3-sphäre. Topology. 8(1). 81–91. 71 indexed citations

12.

Waldhausen, Friedhelm. (1968). Heegaard-Zerlegungen der 3-sphäre. Topology. 7(2). 195–203. 139 indexed citations

13.

Waldhausen, Friedhelm. (1968). On Irreducible 3-Manifolds Which are Sufficiently Large. Annals of Mathematics. 87(1). 56–56. 532 indexed citations breakdown →

14.

Waldhausen, Friedhelm. (1968). The Word Problem in Fundamental Groups of Sufficiently Large Irreducible 3-Manifolds. Annals of Mathematics. 88(2). 272–272. 32 indexed citations

15.

Waldhausen, Friedhelm. (1967). Eine Verallgemeinerung des Schleifensatzes. Topology. 6(4). 501–504. 23 indexed citations

16.

Waldhausen, Friedhelm. (1967). Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten. Topology. 6(4). 505–517. 90 indexed citations

17.

Waldhausen, Friedhelm. (1967). Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I. Inventiones mathematicae. 3(4). 308–333. 180 indexed citations

18.

Waldhausen, Friedhelm. (1967). Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. II. Inventiones mathematicae. 4(2). 87–117. 62 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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