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Author: | | Thomas A. Chapman |
Title: | | A Further Note on Closure and Interior Operators |
Type: | | journal article |
English: | | http://www.jstor.org/stable/2311193 | DOI: | | 10.2307/2311193 |
Journal: | | American Mathematical Monthly |
Abbrev: | | Amer. Math. Monthly |
Year: | | 1962 |
Volume: | | 69 |
Issue: | | 6 |
Pages: | | 524‑529 |
Publisher: | | Taylor & Francis |
Location: | | London, DC England |
MathSciNet: | | 1531729 |
ZBMATH: | | 0113.37503 |
OCLC: | | 6066991272 |
Refscore:Refscore is the percentage of references cited by this item that are listed on this website. | | 100 |
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Cited by: | | 2018 Shum AKar-Ping Shum, The 14 Set Problem and Its Related Topics, ResearchGate, 2018, 21 pp. |
| 2017 Berghammer ARudolf Berghammer, Tool-Based Relational Investigation of Closure-Interior Relatives for Finite Topological Spaces, Relational and Algebraic Methods in Computer Science, Lecture Notes in Computer Science, v. 10226, edited by P. Höfner, D. Pous, G. Struth, 2017, pp. 60‑76. |
| 2017 Shum AK-P. Shum, A Note on Kuratowski’s Theorem and Its Related Topics, Adv. Pure Math., v. 7, 2017, pp. 383‑406. |
| 2013 PW ASzymon Plewik, Marta Walczyńska, The Monoid Consisting of Kuratowski Operations, J. Math., v. 2013, 2013, pp. 1‑9. |
| 2012 PW ASzymon Plewik, Marta Walczyńska, The Monoid Consisting of Kuratowski Operations, arXiv:1205.3391 [math.GN], arXiv.org, 2012, 18 pp. |
| 2010 Sherman ADavid Sherman, Variations on Kuratowski’s 14‑Set Theorem, Amer. Math. Monthly, v. 117 no. 2, 2010, pp. 113‑123. |
| 2008 GJ AB. J. Gardner, Marcel Jackson, The Kuratowski Closure-Complement Theorem, New Zealand J. Math., v. 38, 2008, pp. 9‑44. |
| 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. |
| 1993 GO AEmmanuelle Garel, Jean Pierre Olivier, About the Finiteness of Monoids Generated by Closures and Interiors, Semigroup Forum, v. 47, 1993, pp. 341‑352. |
| 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. |
| 1988 Aull AC. E. Aull, Classification of Topological Spaces II, Bull. Pol. Acad. Sci. Math., v. 36 no. 11-12, 1988, pp. 649‑654. |
| 1980 Soltan AV. P. Soltan, On Kuratowski’s Problem, Bull. Acad. Pol. Sci., Sér. Sci. Math., v. 28, 1980, pp. 369‑375, in Russian. |
| 1971 Langford AEric Langford, Characterization of Kuratowski 14‑Sets, Amer. Math. Monthly, v. 78 no. 4, 1971, pp. 362‑367. |
| 1970 Palmer MBobra Jane Pitman Palmer, The Kuratowski Closure Problem and Some Generalizations, 1970, 48 pp. |
| 1967 Aull AC. E. Aull, Classification of Topological Spaces, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys., v. 15, 1967, pp. 773‑778. |
| 1966 Koenen AWilliam Koenen, The Kuratowski Closure Problem in the Topology of Convexity, Amer. Math. Monthly, v. 73 no. 7, 1966, pp. 704‑708. |
| 1963 Staley DDavid H. Staley, Commutativity of Operators in a Topological Space with Applications, 1963, 65 pp. |
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Cites: | | 1961 Levine ANorman Levine, On the Commutativity of the Closure and Interior Operators in Topological Spaces, Amer. Math. Monthly, v. 68 no. 5, 1961, pp. 474‑477. |
| 1955 Kelley BJohn L. Kelley, General Topology, 1955, p. 57. |
| 1922 Kuratowski AKazimierz Kuratowski, Sur l'Opération Ā de l'Analysis Situs (On the Topological Closure Operation), Fund. Math., v. 3, 1922, pp. 182‑199, in French. |
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