Continua and their non-separating subcontinua

D. E. Bennett; J. B. Fugate

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1977

Abstract

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CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua......................................................................................................... 7 Terminal continua and irreduisibility......................................................................................... 9 Composants and E-continua..................................................................................................... 13Chapter II. Necessary and sufficient conditions for irreducibility.............................................. 18 Decompositions into terminal continua................................................................................... 18 Triods and Sorgenfrey's Theorems.......................................................................................... 20Chapter III. Terminal and non-cutting continua............................................................................ 20 Properties of terminal and non-cutting continua..................................................................... 26 Local connectivity at K and K-aposyndesis.............................................................................. 27 Arc and monotone decompositions.......................................................................................... 31Chapter IV. Absolutely non-separating continua.................................................................................. 34 Basic types and properties......................................................................................................... 34 Hereditarily irreducible continua................................................................................................ 38Chapter V. Minimal continua............................................................................................................ 41 Existence of certain minimal continua...................................................................................... 41 The structure of minimal continua............................................................................................. 43References.................................................................................................................................................. 45

How to cite

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D. E. Bennett, and J. B. Fugate. Continua and their non-separating subcontinua. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1977. <http://eudml.org/doc/268564>.

@book{D1977,
abstract = {CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua......................................................................................................... 7 Terminal continua and irreduisibility......................................................................................... 9 Composants and E-continua..................................................................................................... 13Chapter II. Necessary and sufficient conditions for irreducibility.............................................. 18 Decompositions into terminal continua................................................................................... 18 Triods and Sorgenfrey's Theorems.......................................................................................... 20Chapter III. Terminal and non-cutting continua............................................................................ 20 Properties of terminal and non-cutting continua..................................................................... 26 Local connectivity at K and K-aposyndesis.............................................................................. 27 Arc and monotone decompositions.......................................................................................... 31Chapter IV. Absolutely non-separating continua.................................................................................. 34 Basic types and properties......................................................................................................... 34 Hereditarily irreducible continua................................................................................................ 38Chapter V. Minimal continua............................................................................................................ 41 Existence of certain minimal continua...................................................................................... 41 The structure of minimal continua............................................................................................. 43References.................................................................................................................................................. 45},
author = {D. E. Bennett, J. B. Fugate},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Continua and their non-separating subcontinua},
url = {http://eudml.org/doc/268564},
year = {1977},
}

TY - BOOK
AU - D. E. Bennett
AU - J. B. Fugate
TI - Continua and their non-separating subcontinua
PY - 1977
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua......................................................................................................... 7 Terminal continua and irreduisibility......................................................................................... 9 Composants and E-continua..................................................................................................... 13Chapter II. Necessary and sufficient conditions for irreducibility.............................................. 18 Decompositions into terminal continua................................................................................... 18 Triods and Sorgenfrey's Theorems.......................................................................................... 20Chapter III. Terminal and non-cutting continua............................................................................ 20 Properties of terminal and non-cutting continua..................................................................... 26 Local connectivity at K and K-aposyndesis.............................................................................. 27 Arc and monotone decompositions.......................................................................................... 31Chapter IV. Absolutely non-separating continua.................................................................................. 34 Basic types and properties......................................................................................................... 34 Hereditarily irreducible continua................................................................................................ 38Chapter V. Minimal continua............................................................................................................ 41 Existence of certain minimal continua...................................................................................... 41 The structure of minimal continua............................................................................................. 43References.................................................................................................................................................. 45
LA - eng
UR - http://eudml.org/doc/268564
ER -

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