-compactness in smooth topological spaces.
Park, Chun-Kee, Min, Won Keun, Kim, Myeong Hwan (2003)
International Journal of Mathematics and Mathematical Sciences
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Park, Chun-Kee, Min, Won Keun, Kim, Myeong Hwan (2003)
International Journal of Mathematics and Mathematical Sciences
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Lin, Bor-Luh, Rao, T.S.S.R.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Jacek Stasica (2003)
Annales Polonici Mathematici
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It is proved that the set of smooth points of a semialgebraic set is semialgebraic.
Marián J. Fabián, Václav Zizler (1999)
Czechoslovak Mathematical Journal
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Every separable Banach space with -smooth norm (Lipschitz bump function) admits an equivalent norm (a Lipschitz bump function) which is both uniformly Gâteaux smooth and -smooth. If a Banach space admits a uniformly Gâteaux smooth bump function, then it admits an equivalent uniformly Gâteaux smooth norm.
V. P. Fonf, P. Wojtaszczyk (2014)
Studia Mathematica
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It follows from our earlier results [Israel J. Math., to appear] that in the Gurariy space G every finite-dimensional smooth subspace is contained in a bigger smooth subspace. We show that this property does not characterise the Gurariy space among Lindenstrauss spaces and we provide various examples to show that C(K) spaces do not have this property.
Niculescu, Constantin P., Rădulescu, Vicenţiu (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Robert Deville, Vaclav E. Zizler (1988)
Manuscripta mathematica
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Kankaanrinta, Marja (2005)
Journal of Lie Theory
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Isabel Puga, Miriam Torres (2008)
Colloquium Mathematicae
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The class of ultrasmooth dendroids is contained in the class of smooth dendroids and contains the class of locally connected dendroids. In this paper we study relationships between ultrasmoothness and smoothness in dendroids and we characterize ultrasmooth dendroids.
Jean-Pierre Rosay (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gérald Tenenbaum (2006)
Acta Arithmetica
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Anders Kock, Gonzalo Reyes (2006)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Marián Fabian, Sebastián Lajara (2012)
Studia Mathematica
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We show that, if μ is a probability measure and X is a Banach space, then the space L¹(μ,X) of Bochner integrable functions admits an equivalent Gâteaux (or uniformly Gâteaux) smooth norm provided that X has such a norm, and that if X admits an equivalent Fréchet (resp. uniformly Fréchet) smooth norm, then L¹(μ,X) has an equivalent renorming whose restriction to every reflexive subspace is Fréchet (resp. uniformly Fréchet) smooth.