Singular arc-like continua

Tadeusz Maćkowiak

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1986

Abstract

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CONTENTSIntroduction.......................................................................................................51. 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.............................102. Continua nondivisible by points...................................................................11  A. V-projections.............................................................................................11  B. The construction of Σ................................................................................143. 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.............................................................204. Continua M k and N k ........................................................................21  A. The construction and properties of M k and M ̃ 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)..................................................................................285. Zerodimentional sets in Ñ * k ...................................................................29  A. Nice sequences........................................................................................29  B. The dispersion of zerodimensional sets....................................................306. The main construction................................................................................30References.....................................................................................................34

How to cite

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Tadeusz Maćkowiak. Singular arc-like continua. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1986. <http://eudml.org/doc/268364>.

@book{TadeuszMaćkowiak1986,
abstract = {CONTENTSIntroduction.......................................................................................................51. 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.............................102. Continua nondivisible by points...................................................................11  A. V-projections.............................................................................................11  B. The construction of Σ................................................................................143. 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.............................................................204. 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)..................................................................................285. Zerodimentional sets in $Ñ*_k$...................................................................29  A. Nice sequences........................................................................................29  B. The dispersion of zerodimensional sets....................................................306. The main construction................................................................................30References.....................................................................................................34},
author = {Tadeusz Maćkowiak},
keywords = {arc-like continua; Cook continua; pseudosuspensions; atomic mapping; chainable (hence planar) hereditarily decomposable continuum; no nonconstant, nonidentity maps},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Singular arc-like continua},
url = {http://eudml.org/doc/268364},
year = {1986},
}

TY - BOOK
AU - Tadeusz Maćkowiak
TI - Singular arc-like continua
PY - 1986
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction.......................................................................................................51. 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.............................102. Continua nondivisible by points...................................................................11  A. V-projections.............................................................................................11  B. The construction of Σ................................................................................143. 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.............................................................204. 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)..................................................................................285. Zerodimentional sets in $Ñ*_k$...................................................................29  A. Nice sequences........................................................................................29  B. The dispersion of zerodimensional sets....................................................306. The main construction................................................................................30References.....................................................................................................34
LA - eng
KW - arc-like continua; Cook continua; pseudosuspensions; atomic mapping; chainable (hence planar) hereditarily decomposable continuum; no nonconstant, nonidentity maps
UR - http://eudml.org/doc/268364
ER -

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