Homology of Complexes of Degree One Graphs
Author: Dikran B. Karagueuzian
Publisher:
Published: 1994
Total Pages: 140
ISBN-13:
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Simplicial Complexes of Graphs
Author: Jakob Jonsson
Publisher: Springer Science & Business Media
Published: 2007-11-15
Total Pages: 376
ISBN-13: 3540758585
DOWNLOAD EBOOKA graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.
Graded Algebraic Structures and the Homology of Graph Complexes
Author: Michael Robert Penkava
Publisher:
Published: 1995
Total Pages: 196
ISBN-13:
DOWNLOAD EBOOKThe Topology of Bounded Degree Graph Complexes and Finite Free Resolutions
Author: Xun Dong
Publisher:
Published: 2001
Total Pages: 150
ISBN-13:
DOWNLOAD EBOOKSimplicial Complexes In Complex Systems: In Search For Alternatives
Author: Yi Zhao
Publisher: World Scientific
Published: 2021-05-25
Total Pages: 149
ISBN-13: 9811226334
DOWNLOAD EBOOKFor the last few decades researchers from different fields gather their findings and knowledge trying to give a shape to the new science of complex systems. To address this problem, new tools and methods have to be established. A new, or more precisely an alternative, framework for the characterization of complex system was proposed. In this book we will introduce the applicability of applicability of simplicial complexes in the science of complex systems. After introducing the main definitions and properties of simplicial complexes necessary for representation and analysis of complex systems, we will illustrate the usefulness and versatility of tools and concepts related to the simplicial complexes.
A Concise Course in Algebraic Topology
Author: J. P. May
Publisher: University of Chicago Press
Published: 1999-09
Total Pages: 262
ISBN-13: 9780226511832
DOWNLOAD EBOOKAlgebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Combinatorial Algebraic Topology
Author: Dimitry Kozlov
Publisher: Springer Science & Business Media
Published: 2008-01-08
Total Pages: 416
ISBN-13: 9783540730514
DOWNLOAD EBOOKThis volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
Ends of Complexes
Author: Bruce Hughes
Publisher: Cambridge University Press
Published: 1996-08-28
Total Pages: 384
ISBN-13: 0521576253
DOWNLOAD EBOOKA systematic exposition of the theory and practice of ends of manifolds and CW complexes, not previously available.
Homology of Cell Complexes
Author: George E. Cooke
Publisher: Princeton University Press
Published: 2015-12-08
Total Pages: 275
ISBN-13: 140087775X
DOWNLOAD EBOOKOriginally published in volume 4 of the Princeton University Press Mathematical Notes series. Based on lecture notes by Norman E. Steenrod. Originally published in 1967. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
The Gelfand Mathematical Seminars, 1990–1992
Author: L. Corwin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 239
ISBN-13: 1461203457
DOWNLOAD EBOOKThis Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in Bures-sur-Yvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions.
