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Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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Continua and their non-separating subcontinua

100%
Bennett D. E., Fugate J. B.
Instytut Matematyczny Polskiej Akademii Nauk
EN
CONTENTS Introduction......................................................................................................................................... 5 Preliminaries...................................................................................................................................... 6 Chapter I. Basic types and properties of non-separating continua......................................... 7  Terminal and end continua......................................................................................................... 7  Terminal continua and irreduisibility......................................................................................... 9  Composants and E-continua..................................................................................................... 13 Chapter II. Necessary and sufficient conditions for irreducibility.............................................. 18  Decompositions into terminal continua................................................................................... 18  Triods and Sorgenfrey's Theorems.......................................................................................... 20 Chapter 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.......................................................................................... 31 Chapter IV. Absolutely non-separating continua.................................................................................. 34  Basic types and properties......................................................................................................... 34  Hereditarily irreducible continua................................................................................................ 38 Chapter V. Minimal continua............................................................................................................ 41  Existence of certain minimal continua...................................................................................... 41  The structure of minimal continua............................................................................................. 43 References.................................................................................................................................................. 45
2
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Open maps between Knaster continua

75%
Eberhart C., Fugate J. B., Schumann S.
Fundamenta Mathematicae
|
1999
|
tom 162
|
nr 2
119-148
EN
We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.
3
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Quasi-monotone and confluent images of irreducible continua

65%
Fugate J. B., Mohler L.
Colloquium Mathematicum
|
1973
|
tom 28
|
nr 2
221-224
4
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Approximating continua from within

56%
Eberhart C. A., Fugate J. B.
Fundamenta Mathematicae
|
1971
|
tom 72
|
nr 3
223-231
5
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Small retractions of smooth dendroids onto trees

56%
Fugate J. B.
Fundamenta Mathematicae
|
1971
|
tom 71
|
nr 3
255-262
6
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

A note on open mappings of irreducible continua

47%
Fugate J. B., Mohler L.
Colloquium Mathematicum
|
1973
|
tom 28
|
nr 2
225-226
7
Content available remote

Retracting fans onto finite fans

46%
Fugate J. B.
Fundamenta Mathematicae
|
1971
|
tom 71
|
nr 2
113-125
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