Bibliography: p. 477.
|Statement||by P. J. Hilton and S. Wylie.|
|Contributions||Wylie, S. 1913- joint author.|
|LC Classifications||QA611 .H64 1967|
|The Physical Object|
|Pagination||xv, 484 p.|
|Number of Pages||484|
|LC Control Number||68078372|
There is an algebraic topology book that specializes particularly in homology theory-namely, James Vick's Homology Theory:An Introduction To Algebraic happylifekennel.com does a pretty good job of presenting singular homology theory from an abstract,modern point of view, but with plenty of pictures. It is arranged in a bizarre fashion, with the more abstract Homology Theory coming before the easier to understand Homotopy Theory. Also, within Homology Theory, he skips simplicial homology, which is by far the easiest to understand of the homology theories. I recommend Allen Hatcher's book instead, which is available for free online - I never Cited by: This is a list of some of the ordinary and generalized (or extraordinary) homology and cohomology theories in algebraic topology that are defined on the categories of CW complexes or happylifekennel.com other sorts of homology theories see the links at the end of this article. The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory.
An Introduction to Homology Prerna Nadathur August 16, Abstract This paper explores the basic ideas of simplicial structures that lead to simplicial homology theory, and introduces singular homology in order to demonstrate the equivalence of homology groups of homeomorphic topological spaces. It concludes with a proof of the equivalence of. Jan 01, · Homology Theory book. Read reviews from world’s largest community for readers. The 20 years since the publication of this book have been an era of contin /5(5). The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent 5/5(2). Dec 30, · This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology.
Notes on Homology Theory Abubakr Muhammad ⁄ We provide a short introduction to the various concepts of homology theory in algebraic topology. We closely follow the presentation in . Interested readers are referred to this excellent text for a comprehensive introduction. We start with a quick review of some frequently used concepts. Publisher Summary. This chapter shows that the homotopy type of a simply connected, 4-dimensional polyhedron is completely determined by its inter-related co-homology rings mod m(m = 0, 2,), together with one additional element of structure. The latter is defined in terms of a product, which was introduced by L. Pontrjagin and was studied in greater generality by N. E. Steenrod. 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. The NOOK Book (eBook) of the Homology Theory on Algebraic Varieties by Andrew H. Wallace at Barnes & Noble. FREE Shipping on $ or more! B&N Outlet Membership Educators Gift Cards Stores & Events Help Auto Suggestions are available once you type at least 3 letters. Use up arrow (for mozilla firefox browser alt+up arrow) and down arrow (for Price: $