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Author: | | P. C. Hammer |
Title: | | Kuratowski’s Closure Theorem |
Type: | | journal article |
Journal: | | Nieuw Archief voor Wiskunde |
Abbrev: | | Nieuw Arch. Wisk. |
Year: | | 1960 |
Volume: | | 8 |
Issue: | | 2 |
Pages: | | 74‑80 |
Publisher: | | Royal Dutch Mathematical Society |
Location: | | Amsterdam, Netherlands |
MathSciNet: | | 0149433 |
ZBMATH: | | 0137.15503 |
Refscore:Refscore is the percentage of references cited by this item that are listed on this website. | | 100 |
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Cited by: | | 2019 Dassow AJürgen Dassow, On the Orbit of Closure-Involution Operations – The Case of Formal Languages, Theoret. Comput. Sci., v. 777, 2019, pp. 192‑203. |
| 2019 Santiago AJosé Hernández Santiago, The Group‑Theoretic Analog of Kuratowski’s Closure‑Complement Theorem, Amer. Math. Monthly, v. 126 no. 6, 2019, pp. 519‑526. |
| 2018 Shum AKar-Ping Shum, The 14 Set Problem and Its Related Topics, ResearchGate, 2018, 21 pp. |
| 2017 Schwiebert ARyan C. Schwiebert, The Radical-Annihilator Monoid of a Ring, Comm. Algebra, v. 45 no. 4, 2017, pp. 1601‑1617. |
| 2017 Shum AK-P. Shum, A Note on Kuratowski’s Theorem and Its Related Topics, Adv. Pure Math., v. 7, 2017, pp. 383‑406. |
| 2015 Whitty WRobin Whitty, Kuratowski’s 14-Set Theorem, Theorem of the Day, 2015. |
| 2012 Harju STero Harju, Kuratowski Closure Results On Languages, 2012, 51 slides. |
| 2011 BGS AJanusz Brzozowski, Elyot Grant, Jeffrey Shallit, Closures in Formal Languages and Kuratowski’s Theorem, Intl. J. Found. Comp. Sci., v. 22, 2011, pp. 301‑321. |
| 2011 HK AŠtěpán Holub, Juha Kortelainen, On Partitions Separating Words, Intl. J. Algebra Comp., v. 21 no. 8, 2011, pp. 1305‑1316. |
| 2011 SW AJeffrey Shallit, Ross Willard, Kuratowski’s Theorem for Two Closure Operators, arXiv:1109.1227 [math.GN], arXiv.org, 2011, 6 pp. |
| 2010 Sherman ADavid Sherman, Variations on Kuratowski’s 14‑Set Theorem, Amer. Math. Monthly, v. 117 no. 2, 2010, pp. 113‑123. |
| 2009 BGS‑a AJanusz Brzozowski, Elyot Grant, Jeffrey Shallit, Closures in Formal Languages and Kuratowski’s Theorem, arXiv:0901.3761 [cs.CC], arXiv.org, 2009, 12 pp. |
| 2009 BGS‑b AJanusz Brzozowski, Elyot Grant, Jeffrey Shallit, Closures in Formal Languages and Kuratowski’s Theorem, Developments in Language Theory, 13th International Conference, DLT 2009, Lecture Notes in Computer Science, v. 5583, edited by V. Diekert, D. Nowotka, pp. 125‑144. |
| 2008 GJ AB. J. Gardner, Marcel Jackson, The Kuratowski Closure-Complement Theorem, New Zealand J. Math., v. 38, 2008, pp. 9‑44. |
| 2007 Mathematrucker Wmathematrucker, Kuratowski’s Closure-Complement Problem, Wikipedia, 2007. |
| 2004 Sherman ADavid Sherman, Variations on Kuratowski’s 14‑Set Theorem, arXiv:math/0405401 [math.GN], arXiv.org, 2004, 11 pp. |
| 2003 Weisstein BEric W. Weisstein, CRC Concise Encyclopedia of Mathematics, 2nd Edition, 2003, 3242 pp. |
| 2000 BW WMark Bowron, Eric W. Weisstein, Kuratowski’s Closure-Complement Problem, MathWorld — A Wolfram Web Resource, 2000. |
| 1999 Bowron QMark Bowron, New Kuratowski Closure-Complement (and Union) Results?, sci.math.research, 1999. |
| 1996 Shum AKar‑Ping Shum, Closure Functions on the Set of Positive Integers, Sci. China Ser. A, v. 39 no. 4, 1996, pp. 337‑346. |
| 1993 Shum AK-P. Shum, The Amalgamation of Closure and Boundary Functions on Semigroups and Partially Ordered Sets, Proceedings of the Conference on Ordered Structures and Algebra of Computer Languages: Hong Kong, 26‑29 June 1991, 1993, pp. 232‑243. |
| 1992 KS AS. M. Kam, K-P. Shum, On a Problem of P. C. Hammer, Southeast Asian Bull. of Math., v. 16, 1992, pp. 123‑127. |
| 1982 Soltan AV. P. Soltan, Problems of Kuratowski Type, Mat. Issled., v. 65, 1982, pp. 121‑131, in Russian. |
| 1980 Soltan AV. P. Soltan, On Kuratowski’s Problem, Bull. Acad. Pol. Sci., Sér. Sci. Math., v. 28, 1980, pp. 369‑375, in Russian. |
| 1979 Soltan AV. P. Soltan, The Kuratowski Number of a Closure Space, IV Tiraspol Symposium on General Topology and its Applications, 1979, pp. 137‑139, in Russian. |
| 1975 YS AKai-Wing Yip, Kar‑Ping Shum, On the Structure of Kuratowski Sets, J. Chin. Univ. Hong Kong, v. 3, 1975, pp. 429‑439. |
| 1974 SY PArthur Smith, Kuratowski Sets, Problem 5996, Amer. Math. Monthly, v. 81 no. 9, 1974, p. 1034, Solution: Chie Y. Yu, v. 85 no. 4, 1978, pp. 283‑284. |
| 1971 AS AJ. Anusiak, K-P. Shum, Remarks on Finite Topological Spaces, Colloq. Math., v. 23 no. 2, 1971, pp. 217‑223. |
| 1970 Palmer MBobra Jane Pitman Palmer, The Kuratowski Closure Problem and Some Generalizations, 1970, 48 pp. |
| 1967 Coleman APatrick J. Coleman, On the Composition Semigroup Generated by Complement and an Expansive Function, Nieuw Arch. Wisk., v. 15, 1967, pp. 207‑210. |
| 1966 KM PWilliam Koenen, On Two Closure Problems, Problem E1941, Amer. Math. Monthly, v. 73 no. 10, 1966, p. 1123, Solution: L. F. Meyers, v. 75 no. 4, 1968, pp. 408‑409. |
| 1966 Koenen AWilliam Koenen, The Kuratowski Closure Problem in the Topology of Convexity, Amer. Math. Monthly, v. 73 no. 7, 1966, pp. 704‑708. |
| 1966 Kuratowski‑a BKazimierz Kuratowski, Topology. Volume I. New Edition, Revised and Augmented., English translation by Jan Jaworowski, 1966, pp. 41‑43. |
| 1962 Hammer AP. C. Hammer, Extended Topology: Set-Valued Set-Functions, Nieuw Arch. Wisk., v. 10, 1962, pp. 55‑77. |
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Cites: | | 1955 Kelley BJohn L. Kelley, General Topology, 1955, p. 57. |
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