strong shape and homology springer monographs in mathematics

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Strong Shape And Homology

Author : Sibe Mardesic
ISBN : 9783662130643
Genre : Mathematics
File Size : 24. 67 MB
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Shape theory, an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces, was introduced by Borsuk 30 years ago and Mardesic contributed greatly to it. One expert says: "If we need a book in the field, this is it! It is thorough, careful and complete."

Handbook Of The History Of General Topology

Author : C.E. Aull
ISBN : 9789401704700
Genre : Mathematics
File Size : 44. 44 MB
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Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010

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ISBN : 9789814462938
Genre :
File Size : 23. 92 MB
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Encyclopedia Of General Topology

Author : K.P. Hart
ISBN : 0080530869
Genre : Mathematics
File Size : 85. 1 MB
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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

Galois Theory Of P Extensions

Author : Helmut Koch
ISBN : 9783662049679
Genre : Mathematics
File Size : 58. 14 MB
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Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.

Glasnik Matemati Ki

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ISBN : CHI:81571135
Genre : Mathematics
File Size : 83. 19 MB
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On Some Aspects Of The Theory Of Anosov Systems

Author : Grigorii A. Margulis
ISBN : 9783662090701
Genre : Mathematics
File Size : 26. 4 MB
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The seminal 1970 Moscow thesis of Grigoriy A. Margulis, published for the first time. Entitled "On Some Aspects of the Theory of Anosov Systems", it uses ergodic theoretic techniques to study the distribution of periodic orbits of Anosov flows. The thesis introduces the "Margulis measure" and uses it to obtain a precise asymptotic formula for counting periodic orbits. This has an immediate application to counting closed geodesics on negatively curved manifolds. The thesis also contains asymptotic formulas for the number of lattice points on universal coverings of compact manifolds of negative curvature. The thesis is complemented by a survey by Richard Sharp, discussing more recent developments in the theory of periodic orbits for hyperbolic flows, including the results obtained in the light of Dolgopyat's breakthroughs on bounding transfer operators and rates of mixing.

Ideals And Reality

Author : Friedrich Ischebeck
ISBN : 9783540263708
Genre : Mathematics
File Size : 27. 42 MB
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Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules possessing a basis are called free. So a finitely generated free R-module is of the form Rn for some n E IN, equipped with the usual operations. A module is called p- jective, iff it is a direct summand of a free one. Especially a finitely generated R-module P is projective iff there is an R-module Q with P @ Q S Rn for some n. Remarkably enough there do exist nonfree projective modules. Even there are nonfree P such that P @ Rm S Rn for some m and n. Modules P having the latter property are called stably free. On the other hand there are many rings, all of whose projective modules are free, e. g. local rings and principal ideal domains. (A commutative ring is called local iff it has exactly one maximal ideal. ) For two decades it was a challenging problem whether every projective module over the polynomial ring k[X1,. . .

Reciprocity Laws

Author : Franz Lemmermeyer
ISBN : 3540669574
Genre : Mathematics
File Size : 41. 79 MB
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This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area.

Elementary And Analytic Theory Of Algebraic Numbers

Author : Wladyslaw Narkiewicz
ISBN : 9783662070017
Genre : Mathematics
File Size : 40. 32 MB
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This book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.

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