Dimension Theory of General Spaces pdf epub mobi txt 電子書下載2025

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出版者:

作者:Pears, A.R.

出品人:

頁數:444

译者:

出版時間:2009-1

價格:$ 103.96

裝幀:

isbn號碼:9780521093026

叢書系列:

圖書標籤:

Dimension theory
General topology
Set theory
Mathematical analysis
Functional analysis
Abstract algebra
Point-set topology
Topological spaces
Measure theory
Real analysis

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具體描述

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.