Dynamics of typical Baire-1 functions on a compact $${{\varvec{n}}}$$n-manifold
Sign Up to like & getrecommendations! Published in 2019 at "Aequationes mathematicae"
DOI: 10.1007/s00010-019-00640-1
Abstract: Let M be a compact n-dimensional manifold with $$ bB_{1} $$bB1 the set of Baire-1 self-maps of M. For $$f\in bB_{1}$$f∈bB1, let $$\Omega (f)=\{\omega (x,f):x\in M\}$$Ω(f)={ω(x,f):x∈M} be the collection of $$\omega $$ω-limit sets generated by… read more here.
Keywords: manifold; omega limit; baire; lambda ... See more keywords
More on products of Baire spaces
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DOI: 10.1016/j.topol.2017.08.003
Abstract: Abstract New results on the Baire product problem are presented. It is shown that an arbitrary product of almost locally ccc Baire spaces is Baire; moreover, the product of a Baire space and a 1st… read more here.
Keywords: products baire; product; topology; baire ... See more keywords
A generalization of a Baire theorem concerning barely continuous functions
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DOI: 10.1016/j.topol.2019.03.016
Abstract: Abstract We prove that if X is a paracompact space, Y is a metric space and f : X → Y is a functionally fragmented map, then (i) f is σ-discrete and functionally F σ… read more here.
Keywords: continuous functions; baire; baire theorem; barely continuous ... See more keywords
Baire-Type Properties in Metrizable c0(Ω, X)
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DOI: 10.3390/axioms11010006
Abstract: Ferrando and Lüdkovsky proved that for a non-empty set Ω and a normed space X, the normed space c0(Ω,X) is barrelled, ultrabornological, or unordered Baire-like if and only if X is, respectively, barrelled, ultrabornological, or… read more here.
Keywords: unordered baire; barrelled ultrabornological; baire; baire like ... See more keywords