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Titlebook: Essential Topology; Martin D. Crossley Textbook 2005 Springer-Verlag London Limited 2005 Algebraic topology.Continuity.Fundamental group.H

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发表于 2025-3-21 16:33:49 | 显示全部楼层 |阅读模式
书目名称Essential Topology
编辑Martin D. Crossley
视频video
概述Unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study.Written from a thoroughly modern perspective:
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Essential Topology;  Martin D. Crossley Textbook 2005 Springer-Verlag London Limited 2005 Algebraic topology.Continuity.Fundamental group.H
描述.Taking a direct route, "Essential Topology" brings the most important aspects of modern topology within reach of a second-year undergraduate student. It begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology...While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student...With chapters on: continuity and topological spaces; deconstructionist topology; the Euler number; homotopy groups including the fundamental group; simplicial and singular homology, and fibre bundles..."Essential Topology" contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it..
出版日期Textbook 2005
关键词Algebraic topology; Continuity; Fundamental group; Homology; Homotopy; Homotopy group; Topological space; T
版次1
doihttps://doi.org/10.1007/1-84628-194-6
isbn_softcover978-1-85233-782-7
isbn_ebook978-1-84628-194-5Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London Limited 2005
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发表于 2025-3-21 22:32:04 | 显示全部楼层
Textbook 2005 and singular homology, and fibre bundles..."Essential Topology" contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it..
发表于 2025-3-22 01:42:50 | 显示全部楼层
Textbook 2005 It begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology...While containing all the key results of basic topology, Essential Topology never allows itself
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Consumer Behavior and Energy Conservatione, it is often possible to express the new space in terms of other, perhaps more familiar, spaces. In the last three sections of this chapter, we will look at some different topological constructions which will enable us to deconstruct some of the more exotic spaces that we have met.
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Introduction,s similarities between apparently dissimilar objects. As we will discover, the key to what topology ignores, and to what it concentrates on, is the behaviour of continuous functions. Topology studies the ways in which the properties of the domain and range determine the behaviour of a continuous function.
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