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[null,"1.","Record Nr.",null,"UNINA9910964239103321"]
[null,null,"Autore",null,"Chinn William G"]
[null,null,"Titolo",null,"First concepts of topology : the geometry of mappings of segments, curves, circles and disks / / by William G. Chinn and N.E. Steenrod"]
[null,null,"Pubbl/distr/stampa",null,"Washington, D.C., : Mathematical Association of America, 1966"]
[null,null,"ISBN",null,"0-88385-933-5"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (viii, 160 pages) : digital, PDF file(s)"]
[null,null,"Collana",null,"The Anneli Lax new mathematical library ; ; 18"]
[null,null,"Disciplina",null,"513/.83"]
[null,null,"Soggetti",null,"Topology"]
[{"$nulls":4},"Geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Introduction -- pt. I. Existence theorems in dimension 1. The first existence theorem ; Sets and functions ; Neighborhoods and continuity ; Open sets and closed sets ; The completeness of the real number system ; Compactness ; Connectedness ; Topological properties and topological equivalences ; A fixed point theorem ; Mappings of a circle into a line ; The pancake problems ; Zeros of polynomials -- pt. II. Existence theorems in dimension 2. Mappings of a plane into itself ; The disk ; Initial attempts to formulate the main theorem ; Curves and closed curves ; Intuitive definition of winding number ; Statement of the main theorem ; When is an argument not a-proof? ; The angle swept out by a curve ; Partitioning a curve into short curves ; The winding number W ; Properties of A and W ; Homotopies of curves ; Constancy of the winding number ; Proof of the main theorem ; The circle winds once about each interior point ; The fixed point property ; Vector fields ; The equivalence of vector fields and mappings ; The index of a vector field around a closed curve ; The mappings of a sphere into a plane ; Dividing a ham sandwich ; Vector fields tangent to a sphere ; Complex numbers ; Every polynomial has a zero ; Epilogue: A brief glance at higher dimensional cases -- Solutions for exercises."]
[null,null,null,"Sommario/riassunto","Over 150 problems and solutions."]