principles of topology

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Principles Of Topology

Author : Fred H. Croom
ISBN : 9812432884
Genre : Mathematics
File Size : 75. 23 MB
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This text presents the fundamental principles of topology rigorously but not abstractly. It emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. The usual topics of point-set topology, including metric spaces, general topological spaces, continuity, topological equivalence, basis, sub-basis, connectedness , compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces are treated in this text. Most of the factual information about topology presented in this text is stated in the theorems and illustrated in the accompanying examples, figures and exercises. This book contains many exercises of varying degrees of difficulty. The notation used in this text is reasonably standard; a list of symbols with definitions appears on the front end-sheets. This text is designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels. It is accessible to junior mathematics majors who have studied multivariable calculus.

Principles Of Topology

Author : Fred H. Croom
ISBN : 9780486801544
Genre : Mathematics
File Size : 63. 82 MB
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Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

Principles Of Topological Psychology

Author : Kurt Lewin
ISBN : 9781446547137
Genre : Psychology
File Size : 45. 1 MB
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The concepts which are discussed in the following chapters have been developed and tried out in the course of the last ten years. They are based on both experimental investigations and case histories. In presenting them we are not promulgating a new “system” limited to a specific content, but rather we are describing a “tool,” a set of concepts by means of which one can represent psychological reality. As I see it, the outstanding characteristics of this undertaking are: 1. It tries to build up a framework for the constructive representation and derivation of psychological processes which is logically consistent and at the same time adapted to the special properties of the “psychological life space.” 2. It includes both the characteristics of the environment and of the person. 3. It makes no more assumptions than are required. 4. It proceeds by a method of successive approximation. The concepts developed in the following pages are “operational” in so far as a univocal relation between concepts and observable data is consistently maintained. Although the concepts always extend from the level of phenomena into the level of causal relationships, they are “descriptive” in the sense of Newton’s dictum: Hypotheses non fingo. That is, they express the nature of certain relationships and at the same time avoid that type of “explanation” which is characteristic of speculative theories and which is at present, as it seems to me, a real handicap to our science.

Recent Progress In General Topology Iii

Author : K.P. Hart
ISBN : 9789462390249
Genre : Mathematics
File Size : 51. 11 MB
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The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

Counterexamples In Topology

Author : Lynn Arthur Steen
ISBN : 048668735X
Genre : Mathematics
File Size : 26. 83 MB
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Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.

Topological Principles In Cartography

Author : James P. Corbett
ISBN : IND:32000013394509
Genre : Cartography
File Size : 59. 84 MB
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Selection Principles And Covering Properties In Topology

Author : Ljubiša D. R. Kočinac
ISBN : 8860423333
Genre : Covering spaces (Topology)
File Size : 90. 60 MB
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Lehrbuch Der Topologie

Author : Herbert Seifert
ISBN : OCLC:493389807
Genre : Topology
File Size : 29. 96 MB
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Principles Of Distributed Systems

Author : Teruo Higashino
ISBN : 9783540273240
Genre : Computers
File Size : 38. 49 MB
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Theacceptanceratiowaslessthan30%. Besides the technical contributed papers, the program included two exciting invited talks: Prof. David Lee (Ohio State University, USA) and Dr.

Principles Of Distributed Systems

Author : Giuseppe Prencipe
ISBN : 9783540363217
Genre : Computers
File Size : 49. 5 MB
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This book constitutes the thoroughly refereed post-proceedings of the 9th International Conference on Principles of Distributed Systems, OPODIS 2005, held in Pisa, Italy in December 2005.The 30 revised full papers presented together with abstracts of 2 invited talks were carefully selected from 109 submissions during two rounds of reviewing and improvement. The papers are organized in topical sections on nonblocking synchronization, fault-tolerant broadcast and consensus, self-stabilizing systems, peer-to-peer systems and collaborative environments, sensor networks and mobile computing, security and verification, real-time systems, and peer-to-peer systems.

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