ISBN: 9783662007563

This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds.It does not treat homotopy theory except for some basic notions, some exampl… Mehr…

This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds.It does not treat homotopy theory except for some basic notions, some examples, and some applica- tions of (co-)homology to homotopy.Nor does it deal with general(-ised) homology, but many formulations and arguments on singular homology are so chosen that they also apply to general homology. Because of these absences I have also omitted spectral sequences, their main applications in topology being to homotopy and general (co-)homology theory.Cech- cohomology is treated in a simple ad hoc fashion for locally compact subsets of manifolds; a short systematic treatment for arbitrary spaces, emphasizing the universal property of the Cech-procedure, is contained in an appendix.The book grew out of a one-year's course on algebraic topology, and it can serve as a text for such a course.For a shorter basic course, say of half a year, one might use chapters II, III, IV ( 1-4), V ( 1-5, 7, 8), VI ( 3, 7, 9, 11, 12).As prerequisites the student should know the elementary parts of general topology, abelian group theory, and the language of categories - although our chapter I provides a little help with the latter two.For pedagogical reasons, I have treated integral homology only up to chapter VI; if a reader or teacher prefers to have general coefficients from the beginning he needs to make only minor adaptions.; PDF; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, Springer Berlin Heidelberg<

ISBN: 9783662007563

This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examp… Mehr…

This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examples, and some applica­ tions of (co-)homology to homotopy. Nor does it deal with general(-ised) homology, but many formulations and arguments on singular homology are so chosen that they also apply to general homology. Because of these absences I have also omitted spectral sequences, their main applications in topology being to homotopy and general (co-)homology theory. Cech­ cohomology is treated in a simple ad hoc fashion for locally compact subsets of manifolds; a short systematic treatment for arbitrary spaces, emphasizing the universal property of the Cech-procedure, is contained in an appendix. The book grew out of a one-year's course on algebraic topology, and it can serve as a text for such a course. For a shorter basic course, say of half a year, one might use chapters II, III, IV (§§ 1-4), V (§§ 1-5, 7, 8), VI (§§ 3, 7, 9, 11, 12). As prerequisites the student should know the elementary parts of general topology, abelian group theory, and the language of categories - although our chapter I provides a little help with the latter two. For pedagogical reasons, I have treated integral homology only up to chapter VI; if a reader or teacher prefers to have general coefficients from the beginning he needs to make only minor adaptions., Springer<

ISBN: 9783662007563

*Lectures on Algebraic Topology* / pdf eBook für 85.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissensc… Mehr…

*Lectures on Algebraic Topology* / pdf eBook für 85.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissenschaft > Mathematik, Springer Berlin Heidelberg<

ISBN: 9783662007563

Lectures on Algebraic Topology: ab 85.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer Berlin Heidelberg eBook als pdf, Springer Berlin Heidelberg

ISBN: 9783662007563

; PDF; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, Springer Netherlands