carotenoids
发表于 2025-3-23 12:15:36
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constitutional
发表于 2025-3-23 15:22:12
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GULF
发表于 2025-3-23 21:11:44
The question of invariance,ng the “compactness” of |K|. See Kelley (1955), p.141.) The stronger assertion is referred to as the topological invariance of homology groups: it says that homology groups do not depend on particular triangulations but only on the unierlying topological structure of |K|.
Nutrient
发表于 2025-3-24 00:02:12
Two more general theorems,rs can be stuck together to give either a torus or a Klein bottle (see 7.5). The result is not an explicit formula for H (L ⋃ L.) but an exact sequence which, with luck, will give a good deal of information. An example where it does not give quite enough information to determine a homology group of L. ⋂L. is mentioned in 7.6(3).
花费
发表于 2025-3-24 02:39:29
https://doi.org/10.1007/978-2-8178-0239-8 shall, as described in the Introduction, assume that they are divided up into triangles.† It is therefore necessary at the outset to pinpoint the decisive property which an object must possess in order to be called a surface, and to interpret this as a property of the triangulation.
Scleroderma
发表于 2025-3-24 07:22:05
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forestry
发表于 2025-3-24 10:51:45
https://doi.org/10.1007/978-3-662-08816-6e. To be a little more precise, let M be a closed surface and let K be a graph which is a sub- complex of M. If K is removed from M, what is left is a number of disjoint subsets of M which we refer to as the “regions” into which K divides M. (Alternatively we may picture M as being cut along K: it falls into separate pieces, one for each region.)
GULLY
发表于 2025-3-24 15:21:05
Closed surfaces, shall, as described in the Introduction, assume that they are divided up into triangles.† It is therefore necessary at the outset to pinpoint the decisive property which an object must possess in order to be called a surface, and to interpret this as a property of the triangulation.
新义
发表于 2025-3-24 19:02:24
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Lyme-disease
发表于 2025-3-25 02:42:48
Graphs in surfaces,e. To be a little more precise, let M be a closed surface and let K be a graph which is a sub- complex of M. If K is removed from M, what is left is a number of disjoint subsets of M which we refer to as the “regions” into which K divides M. (Alternatively we may picture M as being cut along K: it falls into separate pieces, one for each region.)