Une Propriété Topologique de Certains Ensembles de Mills
Une Propriété Topologique de Certains Ensembles de Mills
About this item
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Author / Creator
Publisher
Liverpool: De Gruyter Open
Journal title
Language
English
Formats
Publication information
Publisher
Liverpool: De Gruyter Open
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Scope and Contents
Contents
In this article , we show that the set of Mills constants (real numbers M such that [M
] is prime for all n ≥ 0) is the increasing limit of sets homeomorphic to the triadic Cantor’s set. More generally, for a given function ϕ and a set A of integers, we studying the Mills set M
(A) = {α ∈ ℝ/ ∀n ∈ ℕ, [ϕ
(α)] ∈ A} (where ϕ
= ϕ∘...∘ϕ n tim...
Alternative Titles
Full title
Une Propriété Topologique de Certains Ensembles de Mills
Authors, Artists and Contributors
Author / Creator
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Primary Identifiers
Record Identifier
TN_cdi_proquest_journals_3157725243
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_3157725243
Other Identifiers
ISSN
2309-5377,1336-913X
E-ISSN
2309-5377
DOI
10.1515/udt-2017-0009
