The Structure Of K Cs Transitive Cycle Free Partial Orders

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The Structure Of K Cs Transitive Cycle Free Partial Orders

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Author : Richard Warren
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

The Structure Of K Cs Transitive Cycle Free Partial Orders written by Richard Warren and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

The class of cycle-free partial orders (CFPOs) is defined, and the CFPOs fulfilling a natural transitivity assumption, called k-connected set transitivity (k-CS-transitivity), are analysed in some detail. Classification in many of the interesting cases is given. This work generlizes Droste's classification of the countable k-transitive trees (k>1). In a CFPO, the structure can be branch downwards as well as upwards, and can do so repeatedely (though it neverr returns to the starting point by a cycle). Mostly it is assumed that k>2 and that all maximal chains are finite. The main classification splits into the sporadic and skeletal cases. The former is complete in all cardinalities. The latter is performed only in the countable case. The classification is considerably more complicated than for trees, and skeletal CFPOs exhibit rich, elaborate and rather surprising behaviour.

Relations Related To Betweenness Their Structure And Automorphisms

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Author : Samson Adepoju Adeleke
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Relations Related To Betweenness Their Structure And Automorphisms written by Samson Adepoju Adeleke and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

This volume is about tree-like structures, namely semilinear ordering, general betweenness relations, C-relations and D-relations. It contains a systematic study of betweenness and introduces C- and D- relations to describe the behaviour of points at infinity (leaves or ends or directions of trees). The focus is on structure theorems and on automorphism groups, with applications to the theory of infinite permutation groups.

Groups Modules And Model Theory Surveys And Recent Developments

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Author : Manfred Droste
language : en
Publisher: Springer
Release Date : 2017-06-02

Groups Modules And Model Theory Surveys And Recent Developments written by Manfred Droste and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-02 with Mathematics categories.

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.

Combinatorial Theory Of The Free Product With Amalgamation And Operator Valued Free Probability Theory

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Author : Roland Speicher
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Combinatorial Theory Of The Free Product With Amalgamation And Operator Valued Free Probability Theory written by Roland Speicher and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of ``freeness''. This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.

Morava K Theories And Localisation

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Author : Mark Hovey
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Morava K Theories And Localisation written by Mark Hovey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working in group theory and generalizations.

Hopf Algebras Polynomial Formal Groups And Raynaud Orders

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Author : Lindsay Childs
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Hopf Algebras Polynomial Formal Groups And Raynaud Orders written by Lindsay Childs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

This volume gives two new methods for constructing $p$-elementary Hopf algebra orders over the valuation ring $R$ of a local field $K$ containing the $p$-adic rational numbers. One method constructs Hopf orders using isogenies of commutative degree 2 polynomial formal groups of dimension $n$, and is built on a systematic study of such formal group laws. The other method uses an exponential generalization of a 1992 construction of Greither. Both constructions yield Raynaud orders as iterated extensions of rank $p$ Hopf algebras; the exponential method obtains all Raynaud orders whose invariants satisfy a certain $p$-adic condition.

Algebraic Structure Of Pseudocompact Groups

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Author : Dikran N. Dikranjan
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Algebraic Structure Of Pseudocompact Groups written by Dikran N. Dikranjan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

The fundamental property of compact spaces - that continuous functions defined on compact spaces are bounded - served as a motivation for E. Hewitt to introduce the notion of a pseudocompact space. The class of pseudocompact spaces proved to be of fundamental importance in set-theoretic topology and its applications. This clear and self-contained exposition offers a comprehensive treatment of the question, When does a group admit an introduction of a pseudocompact Hausdorff topology that makes group operations continuous? Equivalently, what is the algebraic structure of a pseudocompact Hausdorff group? The authors have adopted a unifying approach that covers all known results and leads to new ones, Results in the book are free of any additional set-theoretic assumptions.

Treelike Structures Arising From Continua And Convergence Groups

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Author : Brian Hayward Bowditch
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Treelike Structures Arising From Continua And Convergence Groups written by Brian Hayward Bowditch and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working in group theory and generalizations

Short Time Geometry Of Random Heat Kernels

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Author : Richard Bucher Sowers
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Short Time Geometry Of Random Heat Kernels written by Richard Bucher Sowers and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

This volume studies the behaviour of a random heat kernel associated with a stochastic partial differential equation, and gives short-time expansion of this heat kernel. The author finds that the dominant exponential term is classical and depends only on the Riemannian distance function. The second exponential term is a work term and also has classical meaning. There is also a third non-negligible exponential term which blows up. The author finds an expression for this third exponential term which involves a random translation of the index form and the equations of Jacobi fields. In the process, he develops a method to approximate the heat kernel to any arbitrary degree of precision.

The Integral Manifolds Of The Three Body Problem

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Author : Christopher Keil McCord
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

The Integral Manifolds Of The Three Body Problem written by Christopher Keil McCord and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energu, center of mass, linear and angular momentum fixed defines an eight dimensional manifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to "critical points at infinity". This disproves Birkhoffs conjecture that the bifurcations occur only at central configurations.