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

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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..

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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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