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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 4, Pages 107–114 (Mi ppi2002)  
This article is cited in 2 scientific papers (total in 2 papers)

Large Systems

Superpositions of continuous functions defined on a Baire space

S. S. Marchenkov, S. I. Krivospitsky

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (252 kB) Citations (2)
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Abstract: We consider uniformly continuous functions on a Baire space and introduce the notion of a continuity modulus of a function. We formulate a condition on the growth of the continuity modulus $\varphi$ guaranteeing that superpositions of $n$-ary functions with continuity modulus $\varphi$ do not exhaust all $(n+1)$-ary functions with continuity modulus $\varphi$ for any $n$. Moreover, negating this property leads to the inverse effect.
Received: 17.06.2009
Revised: 10.09.2009
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 4, Pages 393–399
DOI: https://doi.org/10.1134/S0032946009040085
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.2
Language: Russian
Citation: S. S. Marchenkov, S. I. Krivospitsky, “Superpositions of continuous functions defined on a Baire space”, Probl. Peredachi Inf., 45:4 (2009), 107–114; Problems Inform. Transmission, 45:4 (2009), 393–399
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Проблемы передачи информации Problems of Information Transmission
     
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