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