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
@book{bwmeta1.element.zamlynska-84c0b6d2-cd61-4937-81de-94ec67dc9ccb,
author = {D. E. Bennett and J. B. Fugate},
title = {Continua and their non-separating subcontinua},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1977},
zbl = {0354.54017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-84c0b6d2-cd61-4937-81de-94ec67dc9ccb}
}
D. E. Bennett; J. B. Fugate. Continua and their non-separating subcontinua. GDML_Books (1977), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-84c0b6d2-cd61-4937-81de-94ec67dc9ccb/