Uniformly continuous 1-1 functions on ordered fields not mapping interior to interior
Iranian Journal of Numerical Analysis and Optimization, 2008 In an earlier work we showed that for ordered fields F not isomorphic to the reals R, there are continuous 1-1 unctions on [0, 1]F which map some interior point to a boundary point of the image (and so are not open). Here we show that over closed bounded intervals in the rationals Q as well as in all non-Archimedean ordered fields of countable ...
Moniri, Mojtaba, S. Eivazloo, Jafar
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Some properties of remainders of uniform spaces and uniformly continuous mappings
FilomatIn this paper we study remainders and completions of uniform spaces and uniformly continuous mappings. Necessary and sufficient conditions have been found for remainders to be precompact, complete, compact, uniformly connected, uniformly chained.
B.E. Kanetov +3 more
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Reading multiplicity in unfoldings from epsilon-neighborhoods of orbits
Electronic Journal of Differential EquationsWe consider generic analytic 1-parameter unfoldings of saddle-node germs of analytic vector fields on the real line, their time-one maps and the Lebesgue measure of $\varepsilon$-neighborhoods of the orbits of these time-one maps.
Renato Huzak +3 more
doaj
Generic uniformly continuous mappings on unbounded hyperbolic spaces
Journal of Mathematical Analysis and ApplicationsWe consider a complete, unbounded, hyperbolic metric space $X$ and a concave, nonzero and nondecreasing function $ω:[0,+\infty)\to[0,+\infty)$ with $ω(0)=0$ and study the space $\mathcal{C}_ω(X)$ of uniformly continous self-mappings on $X$ whose modulus of continuity is bounded above by $ω$.
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On the extension of uniformly continuous mappings.
Michigan Mathematical Journal, 1968 Grünbaum, F., Zarantonello, E. H.
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On the extensions of uniformly continuous mappings [PDF]
Colloquium Mathematicum, 1979 openaire +2 more sources
Some properties of remainders of uniform spaces and uniformly continuous mappings
, 2019 In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some properties of remainders of uniform spaces and uniformly continuous mappings. In particular, it is established the completeness, ?
Kanetov, Bekbolot +2 more
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A family of quotient maps of $\ell^\infty$ that do not admit uniformly continuous right inverses
, 2019 Previously only two examples of Banach space quotient maps which do not admit uniformly continuous right inverses were known: one due to Aharoni and Lindenstrauss and one due to Kalton ($\ell^\infty\to\ell^\infty/c_{0}$). We show through an application of Kalton's Monotone Transfinite Sequence Theorem that a quotient map of a subspace of $\ell^\infty ...
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A scaling limit theorem for controlled branching processes with a size-divisible term. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatGonzález M +2 more
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Energy identity and no neck property for ε -harmonic and α -harmonic maps into homogeneous target manifolds. [PDF]
Calc Var Partial Differ EquBayer C, Roberts AM.
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