000 | 01394 a2200253 4500 | ||
---|---|---|---|
008 | 240830b1997 |||||||| |||| 00| 0 eng d | ||
020 | _a9780387949055 (HB) | ||
041 | _aeng | ||
080 |
_a513.83 _bBRE |
||
100 | _aBredon, Glen.E | ||
245 | _aSheaf Theory | ||
250 | _a2nd | ||
260 |
_bSpringer _c1997 _aNew York |
||
300 | _axi, 502p. | ||
490 |
_aGraduate Texts in Mathematics _v170 |
||
505 | _aI. Sheaves and presheaves II. Sheaf cohomology III. Comparison with other cohomology theories IV. Application of spectral sequences V. Borel-Moore homology VI. Cosheaves and cech homology A. Spectral sequences B. Solutions to selected exerciese | ||
520 | _aThis book emphasizes the role of sheaves in defining and comparing various cohomology theories, particularly in algebraic topology. Key innovations in the book include the introduction and use of the concept of “tautness” of a subspace, proof that sheaf-theoretic cohomology satisfies the homotopy property for general topological spaces, and the incorporation of relative cohomology into sheaf theory. While the book focuses on algebraic topology, it also touches on applications in other mathematical fields, though it does not delve deeply into algebraic geometry. | ||
650 | _aTopology | ||
650 | _aAlgebra | ||
690 | _aMathematics | ||
700 | _aAxler, S | ||
700 | _aGehring | ||
942 | _cBK | ||
999 |
_c60557 _d60557 |