Results 221 to 230 of about 80,113 (268)
Sweetener specific modulation of physiological responses in uropathogenic Escherichia coli
Chichger H +6 more
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1980
The purpose of this chapter is to develop a systematic procedure for determining the homology groups of a certain class of topological spaces. The class of topological spaces chosen consists of the CW-complexes of J. H. C. Whitehead. The procedure developed is a natural generalization and extension of the method used in the preceding chapter to ...
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The purpose of this chapter is to develop a systematic procedure for determining the homology groups of a certain class of topological spaces. The class of topological spaces chosen consists of the CW-complexes of J. H. C. Whitehead. The procedure developed is a natural generalization and extension of the method used in the preceding chapter to ...
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2009
This thesis is a study of cell complexes, of the conditions C and W of Whitehead and of CW-complexes. The topological properties of these spaces are considered in some detail and their relevance in algebraic topology examined. Finally the category of CW-complexes is compared to the category of compactly generated spaces (k-spaces) in the spirit of the ...
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This thesis is a study of cell complexes, of the conditions C and W of Whitehead and of CW-complexes. The topological properties of these spaces are considered in some detail and their relevance in algebraic topology examined. Finally the category of CW-complexes is compared to the category of compactly generated spaces (k-spaces) in the spirit of the ...
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2002
We start this chapter by defining and studying a very important class of spaces, known as the CW-complexes; in the next chapters these will be the spaces with which we shall mainly work.
Marcelo Aguilar +2 more
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We start this chapter by defining and studying a very important class of spaces, known as the CW-complexes; in the next chapters these will be the spaces with which we shall mainly work.
Marcelo Aguilar +2 more
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2003
Abstract In Section 3.8, where we discussed homotopic equivalences, we showed that if we had a handle decomposition of a surface with one 0-handle and k 1-handles, then we could find a deformation retraction of this surface down to a wedge of k circles.
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Abstract In Section 3.8, where we discussed homotopic equivalences, we showed that if we had a handle decomposition of a surface with one 0-handle and k 1-handles, then we could find a deformation retraction of this surface down to a wedge of k circles.
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Volume CAD—CW-complexes based approach
Computer-Aided Design, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiwamu Kase +6 more
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2016
This chapter conveys a study of a special class of topological spaces, called CW-complexes introduced by J.H.C. Whitehead (1904–1960) in 1949 with their homotopy properties to meet the need for development of algebraic topology. This class of spaces is broader and has some better categorical properties than simplicial complexes, but still retains a ...
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This chapter conveys a study of a special class of topological spaces, called CW-complexes introduced by J.H.C. Whitehead (1904–1960) in 1949 with their homotopy properties to meet the need for development of algebraic topology. This class of spaces is broader and has some better categorical properties than simplicial complexes, but still retains a ...
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Embeddingof a finite CW-complex in a sphere
Mathematical Notes of the Academy of Sciences of the USSR, 1968The following theorem is proven: for any finite CW-complex X of dimensionality n, no one can provide the Euclidean sphere of dimensionality (n+1) (n+2)/2 with a CW-complex structure such that X will turn out to be isomorphic to some subcomplex of this CW-complex.
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1976
In this final chapter we draw together all the ideas of the previous chapters by showing that an arbitrary cohomology theory is a geometric theory in an essentially unique way. Thus the geometric definitions of coefficients, operations etc. all apply to an arbitrary theory. This is achieved by examining the geometry of CW complexes.
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In this final chapter we draw together all the ideas of the previous chapters by showing that an arbitrary cohomology theory is a geometric theory in an essentially unique way. Thus the geometric definitions of coefficients, operations etc. all apply to an arbitrary theory. This is achieved by examining the geometry of CW complexes.
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