Arthur W. Apter

981 total citations
123 papers, 655 citations indexed

About

Arthur W. Apter is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Arthur W. Apter has authored 123 papers receiving a total of 655 indexed citations (citations by other indexed papers that have themselves been cited), including 119 papers in Geometry and Topology, 97 papers in Computational Theory and Mathematics and 83 papers in Mathematical Physics. Recurrent topics in Arthur W. Apter's work include Advanced Topology and Set Theory (119 papers), Computability, Logic, AI Algorithms (95 papers) and Mathematical and Theoretical Analysis (59 papers). Arthur W. Apter is often cited by papers focused on Advanced Topology and Set Theory (119 papers), Computability, Logic, AI Algorithms (95 papers) and Mathematical and Theoretical Analysis (59 papers). Arthur W. Apter collaborates with scholars based in United States, Israel and Germany. Arthur W. Apter's co-authors include James Cummings, Saharon Shelah, Joel David Hamkins, Moti Gitik, Peter Koepke, Menachem Magidor, Ioanna Maria Dimitriou, Mirna Džamonja, William S. Zwicker and Benedikt Löwe and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Arthur W. Apter

109 papers receiving 617 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Arthur W. Apter United States	13	633	526	449	129	28	123	655
Moti Gitik Israel	14	607 1.0×	453 0.9×	373 0.8×	181 1.4×	40 1.4×	73	647
Greg Hjorth United States	13	539 0.9×	325 0.6×	399 0.9×	95 0.7×	36 1.3×	59	620
Ronald Björn Jensen Germany	10	645 1.0×	515 1.0×	353 0.8×	124 1.0×	77 2.8×	17	726
Ya’acov Peterzil Israel	18	676 1.1×	248 0.5×	496 1.1×	269 2.1×	33 1.2×	48	720
Jörg Brendle Japan	13	381 0.6×	264 0.5×	183 0.4×	145 1.1×	47 1.7×	57	409
Mirna Džamonja United Kingdom	11	276 0.4×	160 0.3×	191 0.4×	53 0.4×	31 1.1×	59	322
Tapani Hyttinen Finland	11	299 0.5×	236 0.4×	156 0.3×	77 0.6×	25 0.9×	63	378
Martin Goldstern Austria	10	252 0.4×	234 0.4×	107 0.2×	70 0.5×	55 2.0×	43	319
Franklin D. Tall Canada	14	553 0.9×	309 0.6×	330 0.7×	248 1.9×	20 0.7×	70	636
Jindřich Zapletal United States	10	267 0.4×	160 0.3×	140 0.3×	86 0.7×	45 1.6×	55	280

Countries citing papers authored by Arthur W. Apter

Since Specialization

Citations

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

Fields of papers citing papers by Arthur W. Apter

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Arthur W. Apter. 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 Arthur W. Apter. The network helps show where Arthur W. Apter may publish in the future.

Co-authorship network of co-authors of Arthur W. Apter

This figure shows the co-authorship network connecting the top 25 collaborators of Arthur W. Apter. A scholar is included among the top collaborators of Arthur W. Apter 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 Arthur W. Apter. Arthur W. Apter 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

Apter, Arthur W.. (2020). The consistency of level by level equivalence with $V = {\rm HOD}$, the Ground Axiom, and instances of square and diamond. Bulletin of the Polish Academy of Sciences Mathematics. 68(1). 1–10. 1 indexed citations

Apter, Arthur W., et al.. (2020). More on HOD-supercompactness. Annals of Pure and Applied Logic. 172(3). 102901–102901. 1 indexed citations

Apter, Arthur W.. (2014). Inaccessible Cardinals, Failures of GCH, and Level-by-Level Equivalence. Notre Dame Journal of Formal Logic. 55(4).

Apter, Arthur W.. (2014). Singular Failures of GCH and Level by Level Equivalence. Bulletin of the Polish Academy of Sciences Mathematics. 62(1). 11–21. 1 indexed citations

Apter, Arthur W., et al.. (2012). Indestructible strong compactness but not supercompactness. Annals of Pure and Applied Logic. 163(9). 1237–1242. 3 indexed citations

Apter, Arthur W., Stephen Jackson, & Benedikt Löwe. (2012). Cofinality and measurability of the first three uncountable cardinals. Transactions of the American Mathematical Society. 365(1). 59–98. 1 indexed citations

Apter, Arthur W. & Peter Koepke. (2010). The consistency strength of choiceless failures of SCH. Journal of Symbolic Logic. 75(3). 1066–1080. 2 indexed citations

Apter, Arthur W. & James Cummings. (2008). An L-like model containing very large cardinals. Archive for Mathematical Logic. 47(1). 65–78. 5 indexed citations

Apter, Arthur W.. (2008). Reducing the consistency strength of an indestructibility theorem. Mathematical logic quarterly. 54(3). 288–293. 3 indexed citations

10.

Apter, Arthur W., James Cummings, & Joel David Hamkins. (2007). Large cardinals with few measures. Proceedings of the American Mathematical Society. 135(7). 2291–2300. 9 indexed citations

11.

Apter, Arthur W.. (2006). The least strongly compact can be the least strong and indestructible. Annals of Pure and Applied Logic. 144(1-3). 33–42. 7 indexed citations

12.

Apter, Arthur W.. (2004). Diamond, square, and level by level equivalence. Archive for Mathematical Logic. 44(3). 387–395. 8 indexed citations

13.

Apter, Arthur W.. (2003). On the level by level equivalence between strong compactness and strongness. Journal of the Mathematical Society of Japan. 55(1).

14.

Apter, Arthur W.. (2002). Strong Cardinals can be Fully Laver Indestructible. Mathematical logic quarterly. 48(4). 499–507. 4 indexed citations

15.

Apter, Arthur W. & James Cummings. (2000). Identity crises and strong compactness. Journal of Symbolic Logic. 65(4). 1895–1910. 25 indexed citations

16.

Apter, Arthur W. & James Cummings. (2000). A global version of a theorem of Ben-David and Magidor. Annals of Pure and Applied Logic. 102(3). 199–222. 9 indexed citations

17.

Apter, Arthur W.. (1997). Patterns of compact cardinals. Annals of Pure and Applied Logic. 89(2-3). 101–115. 18 indexed citations

18.

Apter, Arthur W., et al.. (1986). Large cardinal structures below ℵ_ω. Journal of Symbolic Logic. 51(3). 591–603. 7 indexed citations

19.

Apter, Arthur W.. (1985). Some results on consecutive large cardinals II: Applications of radin forcing. Israel Journal of Mathematics. 52(4). 273–292. 16 indexed citations

20.

Apter, Arthur W.. (1985). Successors of singular cardinals and measurability. Advances in Mathematics. 55(3). 228–241. 10 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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