|
|
|
|
| LEADER |
02717nmm a2200277 u 4500 |
| 001 |
EB000676226 |
| 003 |
EBX01000000000000000529308 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
140122 ||| eng |
| 020 |
|
|
|a 9783642827839
|
| 100 |
1 |
|
|a Iversen, Birger
|
| 245 |
0 |
0 |
|a Cohomology of Sheaves
|h Elektronische Ressource
|c by Birger Iversen
|
| 250 |
|
|
|a 1st ed. 1986
|
| 260 |
|
|
|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1986, 1986
|
| 300 |
|
|
|a XII, 464 p
|b online resource
|
| 505 |
0 |
|
|a I. Homological Algebra -- 1. Exact categories -- 2. Homology of complexes -- 3. Additive categories -- 4. Homotopy theory of complexes -- 5. Abelian categories -- 6. Injective resolutions -- 7. Right derived functors -- 8. Composition products -- 9. Resume of the projective case -- 10. Complexes of free abelian groups -- 11. Sign rules -- II. Sheaf Theory -- 0. Direct limits of abelian groups -- 1. Presheaves and sheaves -- 2. Localization -- 3. Cohomology of sheaves -- 4. Direct and inverse image of sheaves. f*,f* -- 5. Continuous maps and cohomology!, -- 6. Locally closed subspaces, h!h -- 7. Cup products -- 8. Tensor product of sheaves -- 9. Local cohomology -- 10. Cross products -- 11. Flat sheaves -- 12. Hom(E,F) -- III. Cohomology with Compact Support -- 1. Locally compact spaces -- 2. Soft sheaves -- 3. Soft sheaves on
|
| 653 |
|
|
|a Algebraic Topology
|
| 653 |
|
|
|a Algebraic topology
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b SBA
|a Springer Book Archives -2004
|
| 490 |
0 |
|
|a Universitext
|
| 028 |
5 |
0 |
|a 10.1007/978-3-642-82783-9
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-642-82783-9?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 514.2
|
| 520 |
|
|
|a This text exposes the basic features of cohomology of sheaves and its applications. The general theory of sheaves is very limited and no essential result is obtainable without turn ing to particular classes of topological spaces. The most satis factory general class is that of locally compact spaces and it is the study of such spaces which occupies the central part of this text. The fundamental concepts in the study of locally compact spaces is cohomology with compact support and a particular class of sheaves,the so-called soft sheaves. This class plays a double role as the basic vehicle for the internal theory and is the key to applications in analysis. The basic example of a soft sheaf is the sheaf of smooth functions on ~n or more generally on any smooth manifold. A rather large effort has been made to demon strate the relevance of sheaf theory in even the most elementary analysis. This process has been reversed in order to base the fundamental calculations in sheaf theory on elementary analysis
|