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Dimension Theory of General Spaces

Author A. R. Pears
Publisher Cambridge University Press
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Book Details
Author(s)A. R. Pears
ISBN / ASIN0521093023
ISBN-139780521093026
AvailabilityUsually ships in 24 hours
Sales Rank4,782,550
MarketplaceUnited States 🇺🇸

Description

A complete and self-contained account of the dimension theory of general topological spaces, with particular emphasis on the dimensional properties of non-metrizable spaces. It makes the subject accessible to beginning graduate students and will also serve as a reference work for general topologists. Two introductory chapters summarize standard results in general topology, and cover material on paracompactness and metrization. The principal definitions of dimension follow and their general properties are deduced. Many examples are analysed to show some of the more surprising or pathological aspects of dimension theory. Wherever it is useful to do so, proofs are given in detail.