Author: Sam B. Nadler
Publisher: American Mathematical Soc.
ISBN: 0821818252
Category : Continuity
Languages : en
Pages : 82
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Book Description
The embeddability and structure of all locally compact one-to-one continuous metric (equivalently, Hausdorff) images of the real line are studied. The structure of such spaces is utilized to obtain, for example, necessary and sufficient conditions that they be embeddable in the plane. Special embeddings in the plane and in 3-space are also obtained and the embedding of such spaces in 2-manifolds is investigated.
Author: Thelma West
Publisher: CRC Press
ISBN: 9780849306747
Category : Mathematics
Languages : en
Pages : 316
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Book Description
Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects. It presents new problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps.;Explaining the definitions and techniques used in the two fields and providing results from both areas, this volume: examines prime end (accessible) rotation numbers for chaotic sets and Henon maps; discussed the connection between the rotation shadowing property and the structure of the rotation set for annulus homeomorphisms; offers a Nielson-type theorum concerning the minimum number of fixed points for an area preserving homeomorphism of the two disc; constructs a closed unit disc that admits many inequivalent homeomorphisms that are Denjoy on the boundary and distinct irrational rotations on the interior; gives a geometric description of a horseshoe-type mapping of a plane disc into itself whose attracting set is not chainable; and considers semigroups generated by maps topologically conjugate to contractions.;Written by experts who provide a cross-disciplinary perspective, this volume is intended for applied mathematicians, topologists, geomesters, physicists and graduate-level students in these disciplines.
Author: A. Beck
Publisher: Springer Science & Business Media
ISBN: 3642655483
Category : Mathematics
Languages : en
Pages : 474
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Book Description
Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now to a point where it is fully capable of standing on its own feet as a branch of Mathematics studied for its intrinsic interest and beauty, and since the publication of Topological Dynamics by Gottschalk and Hedlund, it has been the subject of widespread study in its own right, as well as for the light it sheds on differential equations. The Bibliography for Topological Dyna mics by Gottschalk contains 1634 entries in the 1969 edition, and progress in the field since then has been even more prodigious. The study of dynamical systems is an idealization of the physical studies bearing such names as aerodynamics, hydrodynamics, electrodynamics, etc. We begin with some space (call it X) and we imagine in this space some sort of idealized particles which change position as time passes.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 606
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1068
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Book Description
Author: William Fulton
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 120
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Book Description
The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
Author:
Publisher:
ISBN:
Category : Mathematical reviews
Languages : en
Pages : 628
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 654
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Book Description
Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 764
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Book Description
Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 546
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Book Description
Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.
