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Summer Institute on Set Theoretic Topology
Summer Institute on Set Theoretic Topology

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  • 出版年份:1955
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  • 页数:148 页
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《Summer Institute on Set Theoretic Topology》目录
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Hour Lectures 5

TRANSFORMA TIONS&D.Montgomery 5

SET THEORETIC TOPOLOGY-Present and future&G.T.Whyburn 6

DEVELOPMENT of a theory for manifolds&R.L.Wilder 7

Certain classical problems of euclidean topology&E.E.Moise 15

Remarks on the applications of set theoretic topology to analysis analysis&Edwin Hewitt 17

What topology is here to stay?&R.H.Bing 25

Seminar on Generalized Manifolds 28

Examples of generalized manifolds&M.L.Curtis 28

Generalized manifolds with boundary&P.A.White 29

Direct products of generalized manifolds with boundary&Thomas R.Brahana 30

Mappings of manifolds&R.L.Wilder 30

Deformations of generalized manifolds&M.L.Curtis 32

Homotopy manifolds&M.L.Curtis 34

Seminar on Topology of 3-space 35

Historical background&R.L.Wilder 35

Some aspects of knot theory&Alan Goldman 36

Pathology in 3-space&O.G.Harrold,Jr. 38

Decompositions of E3 into points and tame arcs&R.H.Bing 40

Approximating surfaces with polyhedral ones&R.H.Bing 47

Some consequences of the approximation theorem of Bing&O.G.Harrold,Jr 53

Some other problems proposed in the 3-dimensional manifolds seminar 56

Seminar on 3-Dimensional Manifolds 57

Seminar on Semi-Metric Spaces 58

Introductory remarks on semi-metric spaces&F.Burton Jones 58

On semi-metric spaces&Louis F.McAuley 58

Semi-metric spaces&Morton Brown 62

Seminar on Structure of Continua Topology of the Place 65

Structure of continua&G.T.Whyburn 65

On homogeneity&F.Burton Jones 66

Problems in the plane&F.Burton Jones 68

The pseudo-arc&R.H.Bing 70

Homogeneous continua&C.E.Burgess 73

Collections of pseudo-arcs in the plane—Homogeneity of the universal curve&R.D.Anderson 76

Problems on universal curves,pseudo-arcs and related topics&R.D.Anderson 77

On decomposition of continua into aposyndetic continua&L.F.McAuley 78

Reduction of open mappings&R.F.Williams 80

Equicontinuity in continuous collections of continua&E.J.Dyer 81

Continuous collection of continuous curves&Mary-Elizabeth Hamstrom 82

Connectedness&Mary Ellen Rudin 84

Flat spaces&J.Slye 85

Seminar on Fixed Points 87

The Cartwright Littlewood theorem&O.H.Hamilton 87

The fixed point property on quasi-complexes&Eldon Dyer 88

Fixed point sets under involutions in E3&Deane Montgomery 89

Essential fixed points&M.X.Fort,Jr. 90

Seminar on Transformations and Transformation Groups 92

Report of the seminar&E.E.Floyd 92

Homeomorphisms having an equicontinuous family of iterates&E.Hemmingsen 96

The embedding of homeomorphisms in flows&M.K.Fort,Jr. 97

Looal properties of open mappings&R.F.Williams 98

Certain transformations which lower dimensions&Eldon Dyer 99

Report on the monotone,light open,and monotone open mappings of manifolds and re-lated spaces&R.D.Anderson 99

Local arc-wise connectivity in the space Hn of homeomorphisms of Sn onto itself&J.H.Roberts 100

Seminar on Paracompact Spaces 102

Report&Melvin Hendriksen 102

A survey of paracompactness and related topics&E.Michael 102

Supercomplete spaces&J.R.Isbell 106

A Cech fundamental group&A.J.Goldman 107

Seminar on Fibre Spaces 110

Covering homotopy property&M.L.Curtis 110

Homotopy equivalence of Fiber Bundles&M.L.Curtis 111

Seminar on Function Spaces and Topological Algebra 115

Harmonic functions in Banach algebras&Richard Arens 115

Generalized power series algebras&Richard Arens 116

Algebras of linear transformations and of functionals&R.C.Buck 117

Report on rings of continuous functions&Melvin Hendricksen 121

Report on algebras of bounded continuous functions&Edwin H ewitt 124

Hyper-real fields&L.Gillman 128

Some special spaces&L.Gillman 130

Topological structure of normed linear spaces&V.L.Klee,Jr. 132

Rings of uniformly continuous functions&J.R.Isbell 134

Differentiation in Banach algebras&S.B.Myers 135

Algebras of analytic functions&Walter Rudin 137

Topological algebra seminar&Richard Arens 140

Seminar on Extension Theorems 142

Extensions of mappings into n-cubes&M.K.Fort,Jr. 142

Recent analogues of the Urysohn-Tietze extension theorem&E.Michael 143

Selection theorems for continuous functions&E.Michael 144

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