This paper will be devoted to an exposition of some of the basic properties of paracompact spaces. In particular, it will be shown that every pseudo-metrizable space is paracompact and countably paracompact.

The purpose of this thesis is to investigate the idea of topological "connectedness" by presenting some of the basic ideas concerning connectedness along with several related concepts.

In this paper the weak completeness of certain sequence spaces is examined. In particular, we show that each of the sequence spaces c0 and 9, 1 < p < c, is a Banach space. A Riesz representation for the dual space of each of these sequence spaces is given. A Riesz representation theorem for Hilbert space is also proven. In the third chapter we conclude that any reflexive space is weakly (sequentially) complete. We give 01 as an example of a non-reflexive space that is weakly complete. Two examples, c0 and YJ, are given of spaces that fail to be weakly complete.

No abstract.

The public space is and has been an integral part of communities for centuries. It serves as a convenient setting for a broad variety of leisure and recreational activities, as well as enhancing the image and perceived value of a community. Recreational public spaces provide a location for people to meet, relax, and exchange ideas. They can serve the needs and interests of all kinds of people, young and old irrespective of their cultural backgrounds. This report seeks to trace the genealogy of people and their use of recreational public space. Thus it uncovers the history of how space is perceived, interpreted and understood by people who live in Yeoville. It focuses on the understanding of space as an agglomeration of people, objects and events.The report also seeks to conceptualize people’s perception on the use of recreational public space and explore the changing relationship between people and their use of space in Yeoville. Through the process of perception we create a sense of place, i.e. a relationship within a specific context. If a place is memorable, it is because it carries perceptual attributes such as clarity, differentiation, uniqueness, structure and form. Planning practice seems to overlook the importance of incorporating genealogy into planning for diversified cultural communities. The use of narratives or storytelling can have a great significance for planners when planning for these communities. Identifying the core components of a Good City Form and the production of space, the paper goes on to connect these elements based Lynch’s theory of ‘Good City Form’ which was propounded in 1981 and also Lebfebvre’s theory on ‘The Production of Space’ (1991), translated from La production de l’espace(1974). Lynch’s Good City Form (1981) form the theoretical base for this report as his five performance dimensions are used to measure whether Yeoville does meet the criteria.

by Yu Man-hei. / Bibliography: leaves 80-81 / Thesis (M.Phil.)--Chinese University of Hong Kong, 1982

by Cheung Wing Sum. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1980. / Bibliography: leaves 94-98.

by Chu Chiu Wing. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1991. / Bibliography: leaves 31-32. / Introduction / Chapter Section 1. --- A Minimization Problem / Chapter Section 2. --- Radial Symmetry of The Solution / Chapter Section 3. --- Proof of The Main Theorem / References

Thesis (M.Phil.)--Chinese University of Hong Kong. / Bibliography: leaf 29.

by Zhang Xiao-dong. / Thesis (M.Ph.)--Chineses University of Hong Kong, 1987. / Bibliography: leaves 88-92.