intersection

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An Introduction To Intersection Homology Theory Second Edition

Author : Frances Kirwan
ISBN : 1584881844
Genre : Mathematics
File Size : 20. 78 MB
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Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory. Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs. It treats both the basics of the subject and a wide range of applications, providing lucid overviews of highly technical areas that make the subject accessible and prepare readers for more advanced work in the area. This second edition contains entirely new chapters introducing the theory of Witt spaces, perverse sheaves, and the combinatorial intersection cohomology of fans. Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra. With its clear explanations of the main ideas, this book builds the confidence needed to tackle more specialist, technical texts and provides a framework within which to place them.

Median Intersection Design

Author : Douglas W. Harwood
ISBN : 0309057043
Genre : Median strips
File Size : 53. 68 MB
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The Intersection

Author : Sue Phelps
ISBN : 9780081012994
Genre : Language Arts & Disciplines
File Size : 56. 3 MB
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The Intersection: Where Evidence Based Nursing and Information Literacy Meet describes how the Association of College and Research Libraries (ACRL) Framework and Information literacy Competency Standards for Nursing mesh with nursing essentials, thus speaking to the information needs of nurses, nurse educators, and librarians who support worldwide nursing programs. In order to find the best evidence from studies, students and practicing nurses must be proficient in the entire range of information literacy skills. Though the references for this document are from U.S. organizations, they are applicable to nursing audiences across the globe. Describes how the ACRL Framework and Information Literacy Competency Standards for Nursing mesh with the essentials of nursing education and practice in evidence based nursing Speaks to the information needs of nurses, nurse educators and librarians who support nursing programs in the language of nursing Written by the authors for the ACRL Framework and Information Literacy Competency Standards for Nursing

Essays On The Intersection Of Music And Architecture

Author : Mikesch W. Muecke
ISBN : 9781847283375
Genre : History
File Size : 54. 98 MB
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"Essays on the Intersection of Music and Architecture" is a collection of nine texts written by international scholars. Most of the essays were originally presented at the interdisciplinary conference Architecture Music Acoustics that took place in Toronto, Canada, in June 2006 at Ryerson University. The texts range from historiographical and theoretical explorations of the relations between music and architecture via translations of architectural spaces into music to analytical case studies of architectural spaces for musical performance. The book includes illustrations, author biographies, and an index.

Intersection Spaces Spatial Homology Truncation And String Theory

Author : Markus Banagl
ISBN : 9783642125881
Genre : Mathematics
File Size : 25. 4 MB
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The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality.

Recent Progress In Intersection Theory

Author : Geir Ellingsrud
ISBN : 081764122X
Genre : Mathematics
File Size : 89. 26 MB
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The articles in this volume are an outgrowth of an International Confer­ ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were research-oriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E. M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo­ metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the Bloch-Beilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and Gromov-Witten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com­ mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no.

The Intersection Of Race Class And Gender In Multicultural Counseling

Author : Martin Heesacker
ISBN : 0761911588
Genre : Psychology
File Size : 25. 96 MB
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Featuring an outstanding group of the leading theorists and researchers from the fields of multicultural psychology and counseling, this book begins with chapters on how the interplay of such variables of class, gender, and race interact in the development of an individual in a pluralistic society. It then presents theories on how to integrate issues of class, gender and race into counseling theory.

Smoothness Regularity And Complete Intersection

Author : Javier Majadas
ISBN : 9781139485807
Genre : Mathematics
File Size : 83. 69 MB
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Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the André–Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately avoid using simplicial methods. The book also serves as an accessible introduction to some advanced topics and techniques. The only prerequisites are a basic course in commutative algebra and the first definitions in homological algebra.

Intersection Theory

Author : W. Fulton
ISBN : 9783662024218
Genre : Mathematics
File Size : 81. 13 MB
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From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.

Intersection Cohomology

Author : Armand Borel
ISBN : 9780817647650
Genre : Mathematics
File Size : 80. 79 MB
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This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory as developed by M. Goresky and R. MacPherson in Topology 19 (1980), and in Inventiones Mathematicae 72 (1983). Some familiarity with algebraic topology and sheaf theory is assumed.

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