George L. Cain

512 total citations
17 papers, 356 citations indexed

About

George L. Cain is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, George L. Cain has authored 17 papers receiving a total of 356 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Geometry and Topology, 5 papers in Algebra and Number Theory and 4 papers in Mathematical Physics. Recurrent topics in George L. Cain's work include Rings, Modules, and Algebras (5 papers), Advanced Topology and Set Theory (4 papers) and Fixed Point Theorems Analysis (3 papers). George L. Cain is often cited by papers focused on Rings, Modules, and Algebras (5 papers), Advanced Topology and Set Theory (4 papers) and Fixed Point Theorems Analysis (3 papers). George L. Cain collaborates with scholars based in United States and Colombia. George L. Cain's co-authors include Richard E. Chandler, Luis González and Gunter H. Meyer and has published in prestigious journals such as Journal of the American Statistical Association, Communications of the ACM and Journal of Mathematical Analysis and Applications.

In The Last Decade

George L. Cain

15 papers receiving 251 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
George L. Cain United States	8	138	67	59	56	52	17	356
Witold Hurewicz United States	5	60 0.4×	42 0.6×	77 1.3×	28 0.5×	42 0.8×	9	320
Constantin Carathéodory	4	140 1.0×	97 1.4×	92 1.6×	27 0.5×	175 3.4×	7	599
J. A. C. Kolk Netherlands	8	162 1.2×	36 0.5×	261 4.4×	98 1.8×	101 1.9×	8	422
Zoltán Sasvári Germany	10	41 0.3×	48 0.7×	82 1.4×	30 0.5×	123 2.4×	29	385
Evelyn Frank United States	6	65 0.5×	65 1.0×	76 1.3×	33 0.6×	135 2.6×	27	346
Frédéric Riesz	3	44 0.3×	121 1.8×	188 3.2×	37 0.7×	161 3.1×	3	414
Lee Lorch Canada	14	79 0.6×	91 1.4×	112 1.9×	55 1.0×	453 8.7×	65	653
Yung-Chen Lu United States	5	120 0.9×	45 0.7×	29 0.5×	17 0.3×	82 1.6×	8	244
J. C. Burkill United States	8	45 0.3×	76 1.1×	88 1.5×	10 0.2×	165 3.2×	20	418
P. C. Rosenbloom United States	11	49 0.4×	147 2.2×	129 2.2×	22 0.4×	164 3.2×	33	516

Countries citing papers authored by George L. Cain

Since Specialization

Citations

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

Fields of papers citing papers by George L. Cain

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by George L. Cain. 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 George L. Cain. The network helps show where George L. Cain may publish in the future.

Co-authorship network of co-authors of George L. Cain

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

All Works

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17 of 17 papers shown

Cain, George L. & Gunter H. Meyer. (2019). Separation of Variables for Partial Differential Equations: An Eigenfunction Approach. CERN Document Server (European Organization for Nuclear Research). 3 indexed citations

Cain, George L. & Luis González. (2007). The Knaster–Kuratowski–Mazurkiewicz theorem and abstract convexities. Journal of Mathematical Analysis and Applications. 338(1). 563–571. 13 indexed citations

Cain, George L.. (1993). Introduction to General Topology. 11 indexed citations

Cain, George L., et al.. (1981). Singular sets and remainders. Transactions of the American Mathematical Society. 268(1). 161–161. 10 indexed citations

Cain, George L., et al.. (1981). Singular Sets and Remainders. Transactions of the American Mathematical Society. 268(1). 161–161. 14 indexed citations

Cain, George L.. (1981). Continuous Preimages of Spaces with Finite Compactifications. Canadian Mathematical Bulletin. 24(2). 177–180. 3 indexed citations

Cain, George L.. (1980). Properties of βX - X for Locally Connected Generalized Continua. Proceedings of the American Mathematical Society. 79(2). 311–311. 3 indexed citations

Cain, George L.. (1980). Properties of 𝛽𝑋-𝑋 for locally connected generalized continua. Proceedings of the American Mathematical Society. 79(2). 311–315. 3 indexed citations

Cain, George L., et al.. (1975). Fixed and periodic points of local contraction mappings on probabilistic metric spaces. Theory of Computing Systems. 9(3). 289–297. 18 indexed citations

10.

Cain, George L.. (1972). Metrizable mapping compactifications. General Topology and its Applications. 2(3). 271–275. 3 indexed citations

11.

Cain, George L., et al.. (1971). Fixed points and stability for a sum of two operators in locally convex spaces. Pacific Journal of Mathematics. 39(3). 581–592. 97 indexed citations

12.

Cain, George L.. (1971). Extensions and compactifications of mappings. Mathematische Annalen. 191(4). 333–336. 5 indexed citations

13.

Cain, George L.. (1969). Compactification of mappings. Proceedings of the American Mathematical Society. 23(2). 298–303. 6 indexed citations

14.

Cain, George L.. (1969). Compactification of Mappings. Proceedings of the American Mathematical Society. 23(2). 298–298. 1 indexed citations

15.

Cain, George L., et al.. (1968). Introduction to Numerical Methods and Fortran Programming.. Journal of the American Statistical Association. 63(322). 737–737. 147 indexed citations

16.

Cain, George L.. (1966). A method for locating zeros of complex functions. Communications of the ACM. 9(4). 305–306. 2 indexed citations

17.

Cain, George L.. (1966). Compact and related mappings. Duke Mathematical Journal. 33(4). 17 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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