Non-separable Hilbert manifolds of continuous mappings
نویسندگان
چکیده
منابع مشابه
Non-separable Hilbert Manifolds of Continuous Mappings
Using Toruńczyk’s charaterization theorem, we show that the space CB(X,Y ) of bounded continuous mappings from X into Y is a topological manifold modelled on the Hilbert space of weight 20 , with respect to the topology of uniform convergence, under the following three assumptions: (1) X is a noncompact, separable and metrizable space, (2) Y is a complete metric space which is an ANRU (ANR in u...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2017
ISSN: 0166-8641
DOI: 10.1016/j.topol.2017.03.005