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Synopsis
An important result in algebraic topology can very much be given by a powerful tool with which to attack certain types of problems. This is the equivalence of both the singular and the simplicial homology groups. The simplicial and the singular homology express the same ideas. The two constructions have different uses, as perhaps demonstrated by some of the examples and the theorems. In practice, it is much simpler to calculate homology groups by using the ideas of simplicial homology, but then, in many cases, it's easier and more straight forward in proving the theorems by using singular homology, as the notion of continuous maps is much more compatible with the second theory.
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An Introductory Algebraic Topology
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An Introductory Algebraic Topology
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Paperback. Etat : new. Paperback. An important result in algebraic topology can very much be given by a powerful tool with which to attack certain types of problems. This is the equivalence of both the singular and the simplicial homology groups. The simplicial and the singular homology express the same ideas. The two constructions have different uses, as perhaps demonstrated by some of the examples and the theorems. In practice, it is much simpler to calculate homology groups by using the ideas of simplicial homology, but then, in many cases, it's easier and more straight forward in proving the theorems by using singular homology, as the notion of continuous maps is much more compatible with the second theory. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9786208433291
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An Introductory Algebraic Topology (Paperback)
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Paperback. Etat : new. Paperback. An important result in algebraic topology can very much be given by a powerful tool with which to attack certain types of problems. This is the equivalence of both the singular and the simplicial homology groups. The simplicial and the singular homology express the same ideas. The two constructions have different uses, as perhaps demonstrated by some of the examples and the theorems. In practice, it is much simpler to calculate homology groups by using the ideas of simplicial homology, but then, in many cases, it's easier and more straight forward in proving the theorems by using singular homology, as the notion of continuous maps is much more compatible with the second theory. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9786208433291
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