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