000			01415nam a22002297a 4500
003			CUTN
005			20231211115523.0
008			231211b |||||||| |||| 00| 0 eng d
020			_a9780821838129
041			_aEnglish
082			_222 _a514.23 _bPRA
100			_aPrasolov, V. V.
245			_aElements of homology Theory / _cV. V. Prasolov
260			_aRhode Island : _bAmerican Mathematical Society, _c©2007.
300			_aix, 418 p.: _bill. ; _c27 cm.
505			_a1. Simplicial homology 2. Cohomology rings 3. Applications of simplicial homology _t4. Singular homology 5. Čech cohomology and de Rham cohomology
520			_aThe book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology
650			_aHomologie
650			_aHomologietheorie
690			_aMathematics
942			_2ddc _cPROJECT
999			_c40866 _d40866