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- catalog abstract "This long-needed volume, a combines reference and text, presents a mixture of classical and modern continuum theory techniques and contains easy-to-follow proofs as well as numerous examples and counterexamples. Providing many end-of-chapter exercises to augment ideas and illustrate techniques and concepts, Continuum Theory displays complete proofs of all results, including the Hahn-Mazurkiewicz and Sorgenfrey theorems, the inverse limit characterization of chainable continua, and characterization of graphs and dendrites ... gives continuum theory methods, such as inverse limits, usc decompositions, location of non-cut points, set-valued maps, order, limits of sets, and triods ... considers the global analysis and local structure of continua, the structure of special continua, and special types of maps ... unifies the subject by the nested intersection technique, which is used to construct continua and maps as well as to prove theorems ... discusses and constructs indecomposable continua ... and more.".
- catalog contributor b3665806.
- catalog created "c1992.".
- catalog date "1992".
- catalog date "c1992.".
- catalog dateCopyrighted "c1992.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This long-needed volume, a combines reference and text, presents a mixture of classical and modern continuum theory techniques and contains easy-to-follow proofs as well as numerous examples and counterexamples. Providing many end-of-chapter exercises to augment ideas and illustrate techniques and concepts, Continuum Theory displays complete proofs of all results, including the Hahn-Mazurkiewicz and Sorgenfrey theorems, the inverse limit characterization of chainable continua, and characterization of graphs and dendrites ... gives continuum theory methods, such as inverse limits, usc decompositions, location of non-cut points, set-valued maps, order, limits of sets, and triods ... considers the global analysis and local structure of continua, the structure of special continua, and special types of maps ... unifies the subject by the nested intersection technique, which is used to construct continua and maps as well as to prove theorems ... discusses and constructs indecomposable continua ... and more.".
- catalog description "pt. I. General analysis. Examples of continua and nested intersections -- Inverse limits of continua -- Decompositions of continua -- Limits of sets -- The boundary bumping theorems -- Existence of non-cut points -- A general mapping theorem -- pt. II. Special continua and maps. General theory of Peano continua -- Graphs -- Dendrites -- Irreducible continua -- Arc-like continua -- Special types of maps.".
- catalog extent "xii, 328 p. :".
- catalog identifier "0824786599".
- catalog issued "1992".
- catalog issued "c1992.".
- catalog language "eng".
- catalog publisher "New York : M. Dekker,".
- catalog subject "514/.32 20".
- catalog subject "Continuum (Mathematics)".
- catalog subject "QA611.28 .N33 1992".
- catalog tableOfContents "pt. I. General analysis. Examples of continua and nested intersections -- Inverse limits of continua -- Decompositions of continua -- Limits of sets -- The boundary bumping theorems -- Existence of non-cut points -- A general mapping theorem -- pt. II. Special continua and maps. General theory of Peano continua -- Graphs -- Dendrites -- Irreducible continua -- Arc-like continua -- Special types of maps.".
- catalog title "Continuum theory : an introduction / Sam B. Nadler.".
- catalog type "text".