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Lectures on Algebraic Topology
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 sp...
Shortest Connectivity
The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology.
Fibrewise Homotopy Theory
Topology occupies a central position in modern mathematics, and the concept of the fibre bundle provides an appropriate framework for studying differential geometry. Fibrewise homotopy theory is a very large subject that has attracted a good deal of research in recent years. This book provides an overview of the subject as it stands at present.
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Four Leagues of Pecos
Land grant disputes from the nineteenth century have divided and embittered some people for most of the twentieth century. In an attempt to bring final resolution to lingering controversies in New Mexico and throughout the West, in 2000 the U.S. Congress pledged to review disputed claims in the next few years. The Pecos Grant is illustrative of legal and administrative wrangling over land grants. To ensure that a U.S. Senate Committee understood the complexity of the Pecos Grant, New Mexico lawyer and historian Ralph Emerson Twitchell told them in 1923: "There are so many things in connection with this entire business that twenty King Solomons cannot unravel the knot." Yet in this book Hall does sort through the conflicting claims in the over one hundred years of Spanish, Mexican, and American legal maneuvers, legislative stalemates, and private sales involving this 18,000 acre square of land.
Encyclopedia of General Topology
This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book.Key features:• More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms
Report of the Proceedings of the ... Meeting of the Convention of American Instructors of the Deaf
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Advances in Web and Network Technologies, and Information Management
This book constitutes the refereed combined proceedings of four international workshops held in conjunction with the joint 9th Asia-Pacific Web Conference, APWeb 2007, and the 8th International Conference on Web-Age Information Management, WAIM 2007, held in Huang Shan, China in June 2007: DBMAN 2007, WebETrends 2007, PAIS 2007, and ASWAN 2007.
History of Topology
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
