On the failure of a decomposition
D. W. Solomon (1971)
Colloquium Mathematicae
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D. W. Solomon (1971)
Colloquium Mathematicae
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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S. Chaładus, Yu. Teterin (1991)
Acta Arithmetica
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R. FitzGerald, P. Swingle (1967)
Fundamenta Mathematicae
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Zbigniew Burdak (2004)
Annales Polonici Mathematici
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A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.
Šístek, Jakub, Burda, Pavel, Čertíková, Marta, Novotný, Jaroslav
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Izidor Hafner (2007)
Visual Mathematics
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S. Hassi, H. S. V. de Snoo, F. H. Szafraniec
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Let A be a, not necessarily closed, linear relation in a Hilbert space ℌ with a multivalued part mul A. An operator B in ℌ with ran B ⊥ mul A** is said to be an operator part of A when A = B +̂ ({0} × mul A), where the sum is componentwise (i.e. span of the graphs). This decomposition provides a counterpart and an extension for the notion of closability of (unbounded) operators to the setting of linear relations. Existence and uniqueness criteria for an operator part are established...
Daniel Kasprowski, Mark Powell (2014)
Fundamenta Mathematicae
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Given a sequence of oriented links L¹,L²,L³,... each of which has a distinguished, unknotted component, there is a decomposition space 𝓓 of S³ naturally associated to it, which is constructed as the components of the intersection of an infinite sequence of nested solid tori. The Bing and Whitehead continua are simple, well known examples. We give a necessary and sufficient criterion to determine whether 𝓓 is shrinkable, generalising previous work of F. Ancel and M. Starbird and others....
P. Głowacki (1979)
Colloquium Mathematicae
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Z. Rakowski (1977)
Fundamenta Mathematicae
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Sergio Macías (2007)
Colloquium Mathematicae
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We prove a decomposition theorem for a class of continua for which F. B.. Jones's set function 𝓣 is continuous. This gives a partial answer to a question of D. Bellamy.