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Authors: | | H. H. Herda, R. C. Metzler |
Title: | | Closure and Interior in Finite Topological Spaces |
Type: | | journal article |
English: | | http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.desklight-e2c6f9a3-0f57-4e1c-8c90-5e71973109a1 |
Journal: | | Colloquium Mathematicum |
Abbrev: | | Colloq. Math. |
Year: | | 1966 |
Volume: | | 15 |
Issue: | | 2 |
Pages: | | 211‑216 |
Publisher: | | Institute of Mathematics of the Polish Academy of Sciences |
Location: | | Warsaw, Poland |
MathSciNet: | | 0202101 |
ZBMATH: | | 0144.21502 |
Refscore:Refscore is the percentage of references cited by this item that are listed on this website. | | 33 |
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Cited by: | | 2021 CCGS ASara Canilang, Michael P. Cohen, Nicolas Graese, Ian Seong, The Closure-Complement-Frontier Problem in Saturated Polytopological Spaces, New Zealand J. Math., v. 51, 2021, pp. 3‑27. |
| 2019 CCGS ASara Canilang, Michael P. Cohen, Nicolas Graese, Ian Seong, The Closure-Complement-Frontier Problem in Saturated Polytopological Spaces, arXiv:1907.08203 [math.GN], arXiv.org, 2019, 24 pp. |
| 2019 Nikolic ABojan Nikolić, Degenerated Topological Spaces, Novi Sad J. Math., 2019, 13 pp. |
| 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. |
| 2015 MU Qmathematrucker, User23, Classifying Topological Spaces by Kuratowski Monoid, Mathematics Stack Exchange, 2015. |
| 2013 Ziemann SBen Ziemann, Kuratowski Numbers of Finite Topological Spaces, 2013, 24 slides. |
| 2012 FGJMM QArthur Fischer, Dejan Govc, John, mathematrucker, Gerry Myerson, What is the Smallest Cardinality of a Kuratowski 14‑Set?, Mathematics Stack Exchange, 2012. |
| 2008 GJ AB. J. Gardner, Marcel Jackson, The Kuratowski Closure-Complement Theorem, New Zealand J. Math., v. 38, 2008, pp. 9‑44. |
| 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. |
| 1995 MT AM. S. Moslehian, N. Tavallaii, A Generalization of the Kuratowski Closure-Complement Problem, Punjab Univ. J. Math., v. 28, 1995, pp. 1‑9. |
| 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. |
| 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. |
| 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. |
| 1977 Moser ALouise E. Moser, Closure, Interior, and Union in Finite Topological Spaces, Colloq. Math., v. 38, 1977, pp. 41‑51. |
| 1975 BJ AJoel Berman, Steven L. Jordan, The Kuratowski Closure-Complement Problem, Amer. Math. Monthly, v. 82 no. 8, 1975, pp. 841‑842. |
| 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. |
| 1971 AS AJ. Anusiak, K-P. Shum, Remarks on Finite Topological Spaces, Colloq. Math., v. 23 no. 2, 1971, pp. 217‑223. |
| 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. |
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Cites: | | 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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