Results 41 to 50 of about 364 (52)
On the Borel complexity and the complete metrizability of spaces of metrics
Analysis and Geometry in Metric SpacesGiven a metrizable space XX, let AM(X)AM\left(X) be the space of continuous bounded admissible metrics on XX, which is endowed with the sup-metric. In this article, we shall investigate the Borel complexity and the complete metrizability of AM(X)AM\left ...
Koshino Katsuhisa
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On Linearity of Nonclassical Differentiation
, 2004 We introduce a real vector space composed of set-valued maps on an open set X and note it by S. It is a complete metric space and a complete lattice. The set of continuous functions on X is dense in S as in a metric space and as in a lattice.
Samborski, Serguei
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Absolute neighbourhood retracts and spaces of holomorphic maps from Stein manifolds to Oka manifolds [PDF]
, 2013 The basic result of Oka theory, due to Gromov, states that every continuous map $f$ from a Stein manifold $S$ to an elliptic manifold $X$ can be deformed to a holomorphic map.
Larusson, Finnur
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The Lindelöf number of C p(X)×C p(X) for strongly zero-dimensional X
Open Mathematics, 2011 Okunev Oleg
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LΣ(≤ ω)-spaces and spaces of continuous functions
Open Mathematics, 2010 Lara Israel, Okunev Oleg
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The one-point Lindelöfication of an uncountable discrete space can be surlindelöf
Open Mathematics, 2013 Okunev Oleg
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A simple proof of a result of Abramovich and Wickstead
Open Mathematics, 2005 Ercan Zafer
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On the homotopy equivalence of the spaces of proper and local maps
Open Mathematics, 2014 Bartłomiejczyk Piotr +1 more
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A Hilbert cube compactification of the function space with the compact-open topology
Open Mathematics, 2009 Kogasaka Atsushi, Sakai Katsuro
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