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Authors: | | J. C. C. McKinsey, Alfred Tarski |
Title: | | The Algebra of Topology |
Type: | | journal article |
English: | | http://www.jstor.org/stable/1969080 | DOI: | | 10.2307/1969080 |
Journal: | | Annals of Mathematics |
Abbrev: | | Ann. of Math. |
Year: | | 1944 |
Volume: | | 45 |
Pages: | | 141‑191 |
Publisher: | | Department of Mathematics, Princeton University |
Location: | | Princeton, NJ USA |
MathSciNet: | | 0009842 |
ZBMATH: | | 0060.06206 |
OCLC: | | 6067209264 |
Refscore:Refscore is the percentage of references cited by this item that are listed on this website. | | 60 |
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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. |
| 2014 CMU QMario Carneiro, mathematrucker, user134824, How Many Sets Can You Get by Taking Closures, Complements, and Intersections?, Mathematics Stack Exchange, 2014. |
| 2011 Moot SRichard Moot, Some Remarks on Logic and Topology, Linguistic Signs, Grammar and Meaning: Computational Logic of Language, 2011, 93 slides. |
| 2010 DHMM QFrançois G. Dorais, Joel David Hamkins, mathematrucker, Greg Muller, The Closure-Complement-Intersection Problem, MathOverflow, 2010. |
| 2010 Schmidt MAndrin Schmidt, A Theory of Subsets of Topological Spaces, 2010, 21 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 JS AMarcel Jackson, Tim Stokes, Semilattice Pseudo-complements on Semigroups, Comm. Algebra, v. 32, 2004, pp. 2895‑2918. |
| 2004 Jackson AMarcel Jackson, Semilattices with Closure, Algebra Universalis, v. 52 no. 1, 2004, pp. 1‑37. |
| 2004 Sherman ADavid Sherman, Variations on Kuratowski’s 14‑Set Theorem, arXiv:math/0405401 [math.GN], arXiv.org, 2004, 11 pp. |
| 1999 GS AB. J. Gardner, Tim Stokes, Closure Rings, Comm. Math. Univ. Carolinae, v. 40 no. 3, 1999, pp. 413‑427. |
| 1986 Wronski AStanislaw Wronski, On the Operations Definable in Terms of the Complementation and the Closure, Bull. Sect. Logic, Pol. Acad. Sci., v. 15, 1986, pp. 117‑121. |
| 1977 Blok AW. J. Blok, The Free Closure Algebra on Finitely Many Generators, Ind. Math., v. 80, 1977, pp. 362‑379. |
| 1968 KM BKazimierz Kuratowski, Andrzej Mostowski, Set Theory, English translation by Maciej Mączyński, 1968, pp. 26‑30. |
| 1966 Kuratowski‑a BKazimierz Kuratowski, Topology. Volume I. New Edition, Revised and Augmented., English translation by Jan Jaworowski, 1966, pp. 41‑43. |
| 1965 LM PS. P. Lloyd, A Kuratowski Closure and Complement Problem, Problem 5349, Amer. Math. Monthly, v. 72 no. 10, 1965, p. 1136, Solution: J. C. Morgan II, v. 73 no. 10, 1966, pp. 1132‑1134. |
| 1947 Halfar DEdwin Halfar, Reduction of Topological Operators and Their Canonical Representation, 1947, 48 pp. |
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Cites: | | 1941 McKinsey AJ. C. C. McKinsey, A Solution of the Decision Problem for the Lewis Systems S2 and S4, With an Application to Topology, J. Symbol. Logic, v. 6 no. 4, 1941, pp. 117‑134. |
| 1939 Stopher AE. C. Stopher Jr., Point Set Operators and Their Interrelations, Bull. Amer. Math. Soc., v. 46, 1939, pp. 758‑762. |
| 1937 Stopher AE. C. Stopher Jr., Cyclic Relations in Point Set Theory, Bull. Amer. Math. Soc., v. 43, 1937, pp. 686‑694. |
| 1936 Sanders ASamuel T. Sanders Jr., Derived Sets and Their Complements, Bull. Amer. Math. Soc., v. 42, 1936, pp. 577‑584. |
| 1933 Kuratowski BKazimierz Kuratowski, Topologie. I. Espaces Métrisables, Espaces Complets (Topology. I. Metric Spaces, Complete Spaces), 1933, pp. 48‑49, in French. |
| 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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