The Ten Types of H-spaces PDF Download
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Author: I. M. James
Publisher:
ISBN:
Category : H-spaces
Languages : en
Pages : 30
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Book Description
Author: I. M. James
Publisher:
ISBN:
Category : H-spaces
Languages : en
Pages : 30
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Book Description
Author: M. Arkowitz
Publisher: Springer
ISBN: 3662159139
Category : Mathematics
Languages : en
Pages : 42
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Book Description
Many of the sets that one encounters in homotopy classification problems have a natural group structure. Among these are the groups [A,nX] of homotopy classes of maps of a space A into a loop-space nx. Other examples are furnished by the groups ~(y) of homotopy classes of homotopy equivalences of a space Y with itself. The groups [A,nX] and ~(Y) are not necessarily abelian. It is our purpose to study these groups using a numerical invariant which can be defined for any group. This invariant, called the rank of a group, is a generalisation of the rank of a finitely generated abelian group. It tells whether or not the groups considered are finite and serves to distinguish two infinite groups. We express the rank of subgroups of [A,nX] and of C(Y) in terms of rational homology and homotopy invariants. The formulas which we obtain enable us to compute the rank in a large number of concrete cases. As the main application we establish several results on commutativity and homotopy-commutativity of H-spaces. Chapter 2 is purely algebraic. We recall the definition of the rank of a group and establish some of its properties. These facts, which may be found in the literature, are needed in later sections. Chapter 3 deals with the groups [A,nx] and the homomorphisms f*: [B,n~l ~ [A,nx] induced by maps f: A ~ B. We prove a general theorem on the rank of the intersection of coincidence subgroups (Theorem 3. 3).
Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
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Book Description
Author: John Frank Adams
Publisher: Cambridge University Press
ISBN: 9780521410656
Category : Mathematics
Languages : en
Pages : 552
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Book Description
The selected works of one the greatest names in algebraic topology.
Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 718
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Book Description
Author: Saunders Mac Lane
Publisher:
ISBN:
Category : Fiber spaces (Mathematics)
Languages : en
Pages : 36
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Book Description
Author: Hidetoshi Ochiai
Publisher: Taylor & Francis US
ISBN: 9789026518645
Category : Science
Languages : en
Pages : 796
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Book Description
Earth reinforcing techniques are increasingly becoming a useful, powerful and economical solution to various problems encountered in geotechnical engineering practice. Expansion of the experiences and knowledge in this area has succeeded in developing new techniques and their applications to geotechnical engineering problems. In order to discuss the latest experiences and knowledge, and with the purpose of spreading them all over the world for further development, the IS Kyushi conference series on the subject of earth reinforcement have been held in Fukuoka, Japan, every four years since 1988. This fourth symposium, entitled Landmarks in Earth Reinforcement, is a continuation of the series IS Kyushu conferences, and also aims at being one of the landmarks in the progress of modern earth reinforcement practice. The first volume contains 137 papers selected for the symposium covering almost every aspect of earth reinforcement. The second volume contains texts of the special and keynote lectures.
Author: Jaume Aguade
Publisher: Birkhäuser
ISBN: 3034883129
Category : Mathematics
Languages : en
Pages : 413
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Book Description
This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemtica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category. The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 788
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Book Description
Author: Lev Dorman
Publisher: Springer Science & Business Media
ISBN: 1402051018
Category : Science
Languages : en
Pages : 877
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Book Description
Chapter 1 briefly describes the main properties of space plasmas and primary CR. Chapter 2 considers the problem of CR propagation in space plasmas described by the kinetic equation and different types of diffusion approximations. Chapter 3 is devoted to CR non-linear effects in space plasmas caused by CR pressure and CR kinetic stream instabilities with the generation of Alfvèn turbulence. In Chapter 4 different processes of CR acceleration in space plasmas are considered. The book ends with a list providing more than 1,300 full references, a discussion on future developments and unsolved problems, as well as Object and Author indexes.
