Homology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homology Theory write by James W. Vick. This book was released on 2012-12-06. Homology Theory available in PDF, EPUB and Kindle. This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.
Elements of Homology Theory
Elements of Homology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elements of Homology Theory write by Viktor Vasilʹevich Prasolov. This book was released on 2007. Elements of Homology Theory available in PDF, EPUB and Kindle. The 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. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
Singular Homology Theory
Singular Homology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Singular Homology Theory write by W.S. Massey. This book was released on 2012-12-06. Singular Homology Theory available in PDF, EPUB and Kindle. This textbook on homology and cohomology theory is geared towards the beginning graduate student. Singular homology theory is developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind various algebraic concepts is emphasized. The only formal prerequisites are knowledge of the basic facts of abelian groups and point set topology. Singular Homology Theory is a continuation of t he author's earlier book, Algebraic Topology: An Introduction, which presents such important supplementary material as the theory of the fundamental group and a thorough discussion of 2-dimensional manifolds. However, this earlier book is not a prerequisite for understanding Singular Homology Theory.
Homology Theory
Homology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homology Theory write by P. J. Hilton. This book was released on 1967. Homology Theory available in PDF, EPUB and Kindle. This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.
A Basic Course in Algebraic Topology
A Basic Course in Algebraic Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Basic Course in Algebraic Topology write by William S. Massey. This book was released on 2019-06-28. A Basic Course in Algebraic Topology available in PDF, EPUB and Kindle. This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
