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Some Properties of Metric SpacesBrazile, Robert P. 08 1900 (has links)
The study of metric spaces is closely related to the study of topology in that the study of metric spaces concerns itself, also, with sets of points and with a limit point concept based on a function which gives a "distance" between two points. In some topological spaces it is possible to define a distance function between points in such a way that a limit point of a set in the topological sense is also a limit point of the same set in a metric sense. In such a case the topological space is "metrizable". The real numbers with its usual topology is an example of a topological space which is metrizable, the distance function being the absolute value of the difference of two real numbers. Chapters II and III of this thesis attempt to classify, to a certain extent, what type of topological space is metrizable. Chapters IV and V deal with several properties of metric spaces and certain functions of metric spaces, respectively.
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No free lunch and risk measures on Orlicz spacesOffwood, Theresa Maria 12 September 2012 (has links)
The importance of Orlicz spaces in the study of mathematics of nance came
to the for in the 2000's when Frittelli and his collaborators connected the
theory of utility functions to Orlicz spaces. In this thesis, we look at how
Orlicz spaces play a role in nancial mathematics. After giving an overview of
scalar-valued Orlicz spaces, we look at the rst fundamental theorem of asset
pricing in an Orlicz space setting. We then give a brief summary of scalar risk
measures, followed by the representation result for convex risk measures on
Orlicz hearts. As an example of a risk measure, we take a detailed look at the
Wang transform both as a pricing mechanism and as a risk measure. As the
theory of nancial mathematics is moving towards the set-valued setting, we
give a description of vector-valued Orlicz hearts and their duals using tensor
products. Lastly, we look at set-valued risk measures on Orlicz hearts, proving
a robust representation theorem via a tensor product approach.
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Über uniforme RäumeUcsnay, Peter. January 1971 (has links)
Habilitationsschrift--Bonn. / Bibliography: p. 81.
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Urban [space] regeneration in Tsim Sha Tsui East /Hung, Pun, Herbert. January 2000 (has links)
Thesis (M. Arch.)--University of Hong Kong, 2000. / Includes bibliographical references.
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[Re]Public space in Yau Ma Tei /Wong, Wing-kit, Franz. January 2001 (has links)
Thesis (M. Arch.)--University of Hong Kong, 2001. / Includes bibliographical references.
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Small open space in dense urban area : Wan Chai Road / Tai Yuen Street redevelopment project /Ng, Chit-hang, Ken. January 1999 (has links)
Thesis (M.L.A.)--University of Hong Kong, 1999. / Includes special study report entitled: Factory-made street furniture : outdoor seating. Includes bibliographical references.
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Coaxial nexus on traditional Chinese interests : birds, flowers and goldfish /Lai, On-ki, Angel. January 2001 (has links)
Thesis (M. Arch.)--University of Hong Kong, 2001. / Includes special study report entitled: Corner building : a structure with a roof and walls that locates at the places where two streets meet. Includes bibliographical references.
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Public places in and around buildings and its impact on physical setting /Peiris, T. D. H. January 1998 (has links)
Thesis (M.U.D.)--University of Hong Kong, 1998. / Includes bibliographical references (leaf 137).
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Problems in classical banach spacesPatterson, Wanda Ethel Diane McNair 12 1900 (has links)
No description available.
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Über uniforme RäumeUcsnay, Peter. January 1971 (has links)
Habilitationsschrift--Bonn. / Bibliography: p. 81.
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