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Articles	2 registres trobats

31 p, 452.5 KB

Optimal quasi-metrics in a given pointwise equivalence class do not always exist / Brigham, Dan (University of Missouri at Columbia. Department of Mathematics) ; Mitrea, Marius (University of Missouri at Columbia. Department of Mathematics)
In this paper we provide an answer to a question found in [3], namely when given a quasi-metric p, if one examines all quasi-metrics which are pointwise equivalent to p, does there exist one which is most like an ultrametric (or, equivalently, exhibits an optimal amount of Hölder regularity)? The answer, in general, is negative, which we demonstrate by constructing a suitable Rolewicz-Orlicz space.
2015 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_59215_08
Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 479-509 (Articles)

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36 p, 338.1 KB

Topological and polynomial invariants, moduli spaces, in classification problems of polynomial vector fields / Schlomiuk, Dana (Université de Montréal. Département de Mathématiques et de Statistique)
We describe the origin and evolution of ideas on topological and polynomial invariants and their interaction, in problems of classification of polynomial vector fields. The concept of moduli space is discussed in the last section and we indicate its value in understanding the dynamics of families of such systems. [...]
2014 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_Extra14_23
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 461-496

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