Sören Illman

518 total citations
19 papers, 223 citations indexed

About

Sören Illman is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Sören Illman has authored 19 papers receiving a total of 223 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 13 papers in Mathematical Physics and 5 papers in Algebra and Number Theory. Recurrent topics in Sören Illman's work include Homotopy and Cohomology in Algebraic Topology (13 papers), Advanced Topics in Algebra (5 papers) and Algebraic structures and combinatorial models (5 papers). Sören Illman is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (13 papers), Advanced Topics in Algebra (5 papers) and Algebraic structures and combinatorial models (5 papers). Sören Illman collaborates with scholars based in Finland. Sören Illman's co-authors include and has published in prestigious journals such as Transactions of the American Mathematical Society, Mathematische Annalen and Memoirs of the American Mathematical Society.

In The Last Decade

Sören Illman

14 papers receiving 151 citations

Peers

Sören Illman
Hans J. Munkholm Denmark
Jesper M. Møller Denmark
Dev Sinha United States
A. Zabrodsky Israel
W.T. van Est Netherlands
Jean-Louis Tu France
William Pardon United States
Aniceto Murillo Spain
Dong Youp Suh South Korea
Mohammed E. B. Bekka Germany
Hans J. Munkholm Denmark
Sören Illman
Citations per year, relative to Sören Illman Sören Illman (= 1×) peers Hans J. Munkholm

Countries citing papers authored by Sören Illman

Since Specialization
Citations

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

Fields of papers citing papers by Sören Illman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

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All Works

19 of 19 papers shown
1.
Illman, Sören. (2016). Equivariant Alexander–Spanier cohomology and P.A. Smith theory. Topology and its Applications. 210. 269–291.
2.
Illman, Sören. (2010). Actions of totally disconnected groups and equivariant singular homology. Topology and its Applications. 157(17). 2659–2678. 2 indexed citations
3.
Illman, Sören. (2003). The very-strong mathrm{C}^{infty} topology on mathrm{C}^{infty} (M,N) and K-equivariant maps. Osaka Journal of Mathematics. 40(2). 409–428. 2 indexed citations
4.
Illman, Sören. (2001). Hilbert's Fifth Problem: Review. Journal of Mathematical Sciences. 105(2). 1843–1847. 3 indexed citations
5.
Illman, Sören, et al.. (2000). Three basic results for real analytic proper G -manifolds. Mathematische Annalen. 316(1). 169–183. 5 indexed citations
6.
Illman, Sören, et al.. (2000). A new topology for the set $\mathrm{C}^{\infty,G}(M,N)$ of G -equivariant smooth maps. Mathematische Annalen. 316(1). 139–168. 3 indexed citations
7.
Illman, Sören. (2000). Existence and uniqueness of equivariant triangulations of smooth proper G-manifolds with some applications to equivariant Whitehead torsion. Journal für die reine und angewandte Mathematik (Crelles Journal). 2000(524). 24 indexed citations
8.
Illman, Sören. (1990). Restricting the transformation group in equivariant CW complexes. Osaka Journal of Mathematics. 27(1). 191–206. 10 indexed citations
9.
Illman, Sören. (1987). On some recent questions in equivariant simple homotopy theory. Kyoto University Research Information Repository (Kyoto University). 633. 19–39.
10.
Illman, Sören. (1986). Actions of compact Lie groups and the equivariant Whitehead group. Osaka Journal of Mathematics. 23(4). 881–927. 6 indexed citations
11.
Illman, Sören. (1982). Recognition of linear actions on spheres. Transactions of the American Mathematical Society. 274(2). 445–478. 5 indexed citations
12.
Illman, Sören. (1982). Recognition of Linear Actions on Spheres. Transactions of the American Mathematical Society. 274(2). 445–445. 4 indexed citations
13.
Illman, Sören. (1980). Approximation of 𝐺-maps by maps in equivariant general positions and imbeddings of 𝐺-complexes. Transactions of the American Mathematical Society. 262(1). 113–157. 3 indexed citations
14.
Illman, Sören. (1980). Approximation of G-Maps by Maps in Equivariant General Position and Imbeddings of G-Complexe. Transactions of the American Mathematical Society. 262(1). 113–113. 1 indexed citations
15.
Illman, Sören. (1978). Smooth equivariant triangulations of G-manifolds for G a finite group. Mathematische Annalen. 233(3). 199–220. 79 indexed citations
16.
Illman, Sören. (1975). Equivariant singular homology and cohomology. I. Memoirs of the American Mathematical Society. 1(156). 0–0. 30 indexed citations
17.
Illman, Sören. (1975). Whitehead torsion and group actions. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 1975. 1–45. 18 indexed citations
18.
Illman, Sören. (1973). Equivariant algebraic topology. Annales de l’institut Fourier. 23(2). 87–91. 24 indexed citations
19.
Illman, Sören. (1973). Equivariant singular homology and cohomology. Bulletin of the American Mathematical Society. 79(1). 188–193. 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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