Handbook of Geometric 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 Handbook of Geometric Topology write by R.B. Sher. This book was released on 2001-12-20. Handbook of Geometric Topology available in PDF, EPUB and Kindle. Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Geometric Topology in Dimensions 2 and 3
Geometric Topology in Dimensions 2 and 3 - 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 Geometric Topology in Dimensions 2 and 3 write by E.E. Moise. This book was released on 2013-06-29. Geometric Topology in Dimensions 2 and 3 available in PDF, EPUB and Kindle. Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be given a name, but its beginnings are easy to identify. The first classic result was the SchOnflies theorem (1910), which asserts that every 1-sphere in the plane is the boundary of a 2-cell. In the next few decades, the most notable affirmative results were the "Schonflies theorem" for polyhedral 2-spheres in space, proved by J. W. Alexander [Ad, and the triangulation theorem for 2-manifolds, proved by T. Rad6 [Rd. But the most striking results of the 1920s were negative. In 1921 Louis Antoine [A ] published an extraordinary paper in which he 4 showed that a variety of plausible conjectures in the topology of 3-space were false. Thus, a (topological) Cantor set in 3-space need not have a simply connected complement; therefore a Cantor set can be imbedded in 3-space in at least two essentially different ways; a topological 2-sphere in 3-space need not be the boundary of a 3-cell; given two disjoint 2-spheres in 3-space, there is not necessarily any third 2-sphere which separates them from one another in 3-space; and so on and on. The well-known "horned sphere" of Alexander [A ] appeared soon thereafter.
Handbook of Geometry and Topology of Singularities II
Handbook of Geometry and Topology of Singularities II - 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 Handbook of Geometry and Topology of Singularities II write by José Luis Cisneros-Molina. This book was released on 2021-11-01. Handbook of Geometry and Topology of Singularities II available in PDF, EPUB and Kindle. This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory and related topics. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Handbook of Geometric Topology
Handbook of Geometric 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 Handbook of Geometric Topology write by Robert J. Daverman. This book was released on 2002-01. Handbook of Geometric Topology available in PDF, EPUB and Kindle. Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Topology and Geometry
Topology and Geometry - 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 Topology and Geometry write by Glen E. Bredon. This book was released on 1993-06-24. Topology and Geometry available in PDF, EPUB and Kindle. This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
