History of Continuum Theory

نویسنده

  • J. CHARATONIK
چکیده

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 705 2 Basic concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 705 3 The Jordan Curve Theorem and the concept of a curve . . . . . . . . . . . . . . . . . 707 4 Local connectedness; plane continua.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 709 5 Indecomposability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 716 6 In-educible continua; decompositions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 721 7 Hereditary indecomposability; P-like continua......................... 728 8 Homogeneity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 733 9 Mapping propertiesfamilies of continua. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 739 10 Special mappings................................................... 742 11 Fixed point theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 746 12 Hyperspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 750 13 Final remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 753

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تاریخ انتشار 2010