Peter Nyikos

1.1k total citations
73 papers, 561 citations indexed

About

Peter Nyikos is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Peter Nyikos has authored 73 papers receiving a total of 561 indexed citations (citations by other indexed papers that have themselves been cited), including 66 papers in Geometry and Topology, 41 papers in Mathematical Physics and 27 papers in Computational Theory and Mathematics. Recurrent topics in Peter Nyikos's work include Advanced Topology and Set Theory (64 papers), Computability, Logic, AI Algorithms (23 papers) and Rings, Modules, and Algebras (21 papers). Peter Nyikos is often cited by papers focused on Advanced Topology and Set Theory (64 papers), Computability, Logic, AI Algorithms (23 papers) and Rings, Modules, and Algebras (21 papers). Peter Nyikos collaborates with scholars based in United States, Austria and Hungary. Peter Nyikos's co-authors include Gary Gruenhage, William F. Lindgren, Jerry E. Vaughan, D. H. Fremlin, Alan Dow, Juan Jorge Schäffer, Heikki J. K. Junnila, Ernest P. Lane, István Juhász and Chun‐Hung Pan and has published in prestigious journals such as Annals of the New York Academy of Sciences, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Peter Nyikos

65 papers receiving 439 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Nyikos United States 13 482 318 228 222 83 73 561
R. Grant Woods Canada 14 574 1.2× 346 1.1× 507 2.2× 180 0.8× 103 1.2× 54 740
Roman Pol Poland 16 553 1.1× 491 1.5× 137 0.6× 161 0.7× 50 0.6× 88 652
Hans-Peter A. Künzi South Africa 10 379 0.8× 194 0.6× 83 0.4× 133 0.6× 117 1.4× 84 454
R. A. McCoy United States 12 452 0.9× 310 1.0× 187 0.8× 128 0.6× 147 1.8× 48 573
Franklin D. Tall Canada 14 553 1.1× 330 1.0× 248 1.1× 309 1.4× 89 1.1× 70 636
S. Negrepontis United States 10 288 0.6× 233 0.7× 206 0.9× 122 0.5× 38 0.5× 32 408
Russell C. Walker United States 4 234 0.5× 198 0.6× 186 0.8× 88 0.4× 45 0.5× 6 350
István Juhász Hungary 13 596 1.2× 341 1.1× 276 1.2× 298 1.3× 86 1.0× 73 722
Jack Ceder United States 8 297 0.6× 215 0.7× 110 0.5× 125 0.6× 78 0.9× 35 436
Vladimir V. Tkachuk Mexico 15 796 1.7× 591 1.9× 253 1.1× 223 1.0× 174 2.1× 118 846

Countries citing papers authored by Peter Nyikos

Since Specialization
Citations

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

Fields of papers citing papers by Peter Nyikos

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Nyikos

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Nyikos. A scholar is included among the top collaborators of Peter Nyikos 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 Peter Nyikos. Peter Nyikos 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.
Nyikos, Peter & Lyubomyr Zdomskyy. (2023). Locally compact, ω1-compact spaces. Annals of Pure and Applied Logic. 175(1). 103324–103324.
2.
Nyikos, Peter. (2020). Classic Problems III. Topology and its Applications. 284. 107340–107340.
3.
Nyikos, Peter. (2017). The structure of locally compact normal spaces: Some quasi-perfect preimages. Topology and its Applications. 222. 1–15. 1 indexed citations
4.
Junnila, Heikki J. K. & Peter Nyikos. (2016). Compactifications and remainders of monotonically normal spaces. Topology and its Applications. 213. 80–91. 3 indexed citations
5.
Gruenhage, Gary & Peter Nyikos. (2015). Mary Ellen's conjectures. Topology and its Applications. 195. 15–25. 1 indexed citations
6.
Cairns, Paul, Heikki J. K. Junnila, & Peter Nyikos. (2015). An application of Mary Ellen Rudin's solution to Nikiel's Conjecture. Topology and its Applications. 195. 26–33. 6 indexed citations
7.
Nyikos, Peter. (2009). Workshop lecture on products of Fréchet spaces. Topology and its Applications. 157(8). 1485–1490. 2 indexed citations
8.
Juhász, István, Peter Nyikos, & Zoltán Szentmiklóssy. (2005). Cardinal restrictions on some homogeneous compacta. Proceedings of the American Mathematical Society. 133(9). 2741–2750. 5 indexed citations
9.
Nyikos, Peter. (2003). Correction to “Complete normality and metrization theory of manifolds”. Topology and its Applications. 138(1-3). 325–327. 8 indexed citations
10.
Nyikos, Peter. (2002). Complete normality and metrization theory of manifolds. Topology and its Applications. 123(1). 181–192. 10 indexed citations
11.
Nyikos, Peter. (1999). Metrizability, monotone normality, and other strong properties in trees. Topology and its Applications. 98(1-3). 269–290. 3 indexed citations
12.
Nyikos, Peter. (1999). On some non-Archimedean spaces of Alexandroff and Urysohn. Topology and its Applications. 91(1). 1–23. 34 indexed citations
13.
Nyikos, Peter. (1992). Hereditary normality versus countable tightness in countably compact spaces. Topology and its Applications. 44(1-3). 271–292. 5 indexed citations
14.
Nyikos, Peter. (1992). Various smoothings of the long line and their tangent bundles. Advances in Mathematics. 93(2). 129–213. 9 indexed citations
15.
Levy, Ronnie, et al.. (1991). Extending discrete-valued functions. Transactions of the American Mathematical Society. 324(1). 293–302. 3 indexed citations
16.
Kiersteád, Henry A. & Peter Nyikos. (1989). Hypergraphs with finitely many isomorphism subtypes. Transactions of the American Mathematical Society. 312(2). 699–718. 3 indexed citations
17.
Nyikos, Peter. (1980). A provisional solution to the normal Moore space problem. Proceedings of the American Mathematical Society. 78(3). 429–435. 22 indexed citations
18.
Nyikos, Peter, et al.. (1980). On spaces in which countably compact sets are closed, and hereditary properties. Topology and its Applications. 11(3). 281–292. 19 indexed citations
19.
Nyikos, Peter, et al.. (1975). On the structure of zerodimensional spaces. Indagationes Mathematicae (Proceedings). 78(2). 120–136. 14 indexed citations
20.
Nyikos, Peter. (1973). Prabir Roy's space Δ is not n-compact. General Topology and its Applications. 3(3). 197–210. 14 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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