On the class of functions having infinite limit on a given set
J. Tóth, L. Zsilinszky (1994)
Colloquium Mathematicae
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J. Tóth, L. Zsilinszky (1994)
Colloquium Mathematicae
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Kharazishvili, A. (2004)
Georgian Mathematical Journal
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Pestov, G.G. (2001)
Sibirskij Matematicheskij Zhurnal
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Jesse Alama (2008)
Formalized Mathematics
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For each set X, the power set of X forms a vector space over the field Z2 (the two-element field {0, 1} with addition and multiplication done modulo 2): vector addition is disjoint union, and scalar multiplication is defined by the two equations (1 · x:= x, 0 · x := ∅ for subsets x of X). See [10], Exercise 2.K, for more information.MML identifier: BSPACE, version: 7.8.05 4.89.993
Milojevic, Petronije S. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bouchet, André, Jackson, Bill (2000)
The Electronic Journal of Combinatorics [electronic only]
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Alan Dow, P. Nyikos (1992)
Fundamenta Mathematicae
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Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not...
Tetruashvili, M. (1994)
Georgian Mathematical Journal
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Ballico, E. (2005)
Beiträge zur Algebra und Geometrie
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Peter Jaeger (2011)
Formalized Mathematics
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This article is about the Borel-Cantelli Lemma in probability theory. Necessary definitions and theorems are given in [10] and [7].