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Singular arc-like continua

100%

Maćkowiak T.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction.......................................................................................................5 1. Preliminaries.................................................................................................6 A. Mappings....................................................................................................6 B. Arc-like continua.........................................................................................8 C. Pseudosuspensions...................................................................................8 D. Set-valued maps........................................................................................9 E. Cook continua...........................................................................................10 F. Countable-to-one mappings and admissible compacta.............................10 2. Continua nondivisible by points...................................................................11 A. V-projections.............................................................................................11 B. The construction of Σ................................................................................14 3. The function ξ₀............................................................................................16 A. The construction of $D_β$ and $Σ_β$.....................................................16 B. The crucial property and its consequences..............................................18 C. Pseudosuspensions with D and Σ.............................................................20 4. Continua $M_k$ and $N_k$........................................................................21 A. The construction and properties of $M_k$ and $M̃_k$.............................21 B. The construction and properties of $N_k$ and $Ñ_k$..............................23 C. Mappings onto $N_k$...............................................................................24 D. The slight modifications of $Ñ_k$.............................................................27 E. The collections N(n)..................................................................................28 5. Zerodimentional sets in $Ñ*_k$...................................................................29 A. Nice sequences........................................................................................29 B. The dispersion of zerodimensional sets....................................................30 6. The main construction................................................................................30 References.....................................................................................................34

Indecomposable continua and the fixed point property II

43%

Maćkowiak T.

Fundamenta Mathematicae

1983

tom 118

nr 3

201-211

Ograniczanie wyników

1 Fundamenta Mathematicae

2 Maćkowiak T.

1 1986

1 1983

Wyniki wyszukiwania

Singular arc-like continua

Indecomposable continua and the fixed point property II