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Proceedings of the Conference on Transformation Groups

Proceedings of the Conference on Transformation Groups PDF Author: P. S. Mostert
Publisher: Springer Science & Business Media
ISBN: 3642461417
Category : Mathematics
Languages : en
Pages : 470

Book Description
These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.

Proceedings of the Conference on Transformation Groups

Proceedings of the Conference on Transformation Groups PDF Author: P. S. Mostert
Publisher: Springer Science & Business Media
ISBN: 3642461417
Category : Mathematics
Languages : en
Pages : 470

Book Description
These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.

Current Trends in Transformation Groups

Current Trends in Transformation Groups PDF Author: Anthony Bak
Publisher: Springer Science & Business Media
ISBN: 9781402007835
Category : Mathematics
Languages : en
Pages : 272

Book Description
This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.

Proceedings of the Second Conference on Compact Transformation Groups. University of Massachusetts, Amherst, 1971

Proceedings of the Second Conference on Compact Transformation Groups. University of Massachusetts, Amherst, 1971 PDF Author: H. T Ku
Publisher: Springer
ISBN: 3540380639
Category : Mathematics
Languages : en
Pages : 465

Book Description


Cohomological Methods in Transformation Groups

Cohomological Methods in Transformation Groups PDF Author: C. Allday
Publisher: Cambridge University Press
ISBN: 0521350220
Category : Mathematics
Languages : en
Pages : 486

Book Description
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.

Transformation Groups Poznan 1985

Transformation Groups Poznan 1985 PDF Author: Stefan Jackowski
Publisher: Springer
ISBN: 3540470972
Category : Mathematics
Languages : en
Pages : 408

Book Description


Group Actions on Manifolds

Group Actions on Manifolds PDF Author: Reinhard Schultz
Publisher: American Mathematical Soc.
ISBN: 0821850385
Category : Mathematics
Languages : en
Pages : 586

Book Description
Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Topological Methods in Algebraic Transformation Groups

Topological Methods in Algebraic Transformation Groups PDF Author: Kraft
Publisher: Springer Science & Business Media
ISBN: 1461237025
Category : Mathematics
Languages : en
Pages : 216

Book Description
In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties. Tech niques from various branches of mathematics have been important for this study, especially those coming from the well-developed theory of smooth compact transformation groups. It was timely to have an interdisciplinary meeting on these topics. We organized the conference "Topological Methods in Alg~braic Transformation Groups," which was held at Rutgers University, 4-8 April, 1988. Our aim was to facilitate an exchange of ideas and techniques among mathematicians studying compact smooth transformation groups, alge braic transformation groups and related issues in algebraic and analytic geometry. The meeting was well attended, and these Proceedings offer a larger audience the opportunity to benefit from the excellent survey and specialized talks presented. The main topics concerned various as pects of group actions, algebraic quotients, homogeneous spaces and their compactifications. The meeting was made possible by support from Rutgers University and the National Science Foundation. We express our deep appreciation for this support. We also thank Annette Neuen for her assistance with the technical preparation of these Proceedings.

Proceedings of the Second Conference on Compact Tranformation Groups. University of Massachusetts, Amherst, 1971

Proceedings of the Second Conference on Compact Tranformation Groups. University of Massachusetts, Amherst, 1971 PDF Author: H. T Ku
Publisher: Springer
ISBN: 3540380663
Category : Mathematics
Languages : en
Pages : 342

Book Description


Transformation Groups and Algebraic K-Theory

Transformation Groups and Algebraic K-Theory PDF Author: Wolfgang Lück
Publisher: Springer
ISBN: 3540468277
Category : Mathematics
Languages : en
Pages : 455

Book Description
The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.

Geometry And Topology Of Submanifolds V - Proceedings Of The Conferences On Differential Geometry And Vision & Theory Of Submanifolds

Geometry And Topology Of Submanifolds V - Proceedings Of The Conferences On Differential Geometry And Vision & Theory Of Submanifolds PDF Author: Franki Dillen
Publisher: World Scientific
ISBN: 9814552488
Category :
Languages : en
Pages : 362

Book Description