Containing spaces for planar rational compacta

J. C. Mayer; E. D. Tymchatyn

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1988

Abstract

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CONTENTS1. Introduction.............................................................................52. Ordered scattered spaces......................................................6 2.1. Topological type..................................................................6 2.2. Ordered spaces..................................................................6 2.3. Rim-type.............................................................................9 2.4. Disk partitions.....................................................................93. Partition theorems.................................................................12 3.1. Partition Pullback Theorem...............................................13 3.2. Defining sequences of partitions.......................................13 3.3. a-Circlelacing lemmas.......................................................14 3.4. Brick Pulverizing Lemma...................................................15 3.5. Construction of a containing space...................................204. Embedding Theorem.............................................................215. Universal spaces...................................................................24 5.1. Question...........................................................................25 5.2. The Sierpiński curve.........................................................25 5.3. A conjectured universal planar rational space...................26 5.4. A conjectured universal planar space of rim-type ≤ a........26References................................................................................26

How to cite

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J. C. Mayer, and E. D. Tymchatyn. Containing spaces for planar rational compacta. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1988. <http://eudml.org/doc/268398>.

@book{J1988,
abstract = {CONTENTS1. Introduction.............................................................................52. Ordered scattered spaces......................................................6 2.1. Topological type..................................................................6 2.2. Ordered spaces..................................................................6 2.3. Rim-type.............................................................................9 2.4. Disk partitions.....................................................................93. Partition theorems.................................................................12 3.1. Partition Pullback Theorem...............................................13 3.2. Defining sequences of partitions.......................................13 3.3. a-Circlelacing lemmas.......................................................14 3.4. Brick Pulverizing Lemma...................................................15 3.5. Construction of a containing space...................................204. Embedding Theorem.............................................................215. Universal spaces...................................................................24 5.1. Question...........................................................................25 5.2. The Sierpiński curve.........................................................25 5.3. A conjectured universal planar rational space...................26 5.4. A conjectured universal planar space of rim-type ≤ a........26References................................................................................26},
author = {J. C. Mayer, E. D. Tymchatyn},
keywords = {planar rational compactum; rim-type; containing space; Sierpinski universal plane curve; universal planar rational space},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Containing spaces for planar rational compacta},
url = {http://eudml.org/doc/268398},
year = {1988},
}

TY - BOOK
AU - J. C. Mayer
AU - E. D. Tymchatyn
TI - Containing spaces for planar rational compacta
PY - 1988
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS1. Introduction.............................................................................52. Ordered scattered spaces......................................................6 2.1. Topological type..................................................................6 2.2. Ordered spaces..................................................................6 2.3. Rim-type.............................................................................9 2.4. Disk partitions.....................................................................93. Partition theorems.................................................................12 3.1. Partition Pullback Theorem...............................................13 3.2. Defining sequences of partitions.......................................13 3.3. a-Circlelacing lemmas.......................................................14 3.4. Brick Pulverizing Lemma...................................................15 3.5. Construction of a containing space...................................204. Embedding Theorem.............................................................215. Universal spaces...................................................................24 5.1. Question...........................................................................25 5.2. The Sierpiński curve.........................................................25 5.3. A conjectured universal planar rational space...................26 5.4. A conjectured universal planar space of rim-type ≤ a........26References................................................................................26
LA - eng
KW - planar rational compactum; rim-type; containing space; Sierpinski universal plane curve; universal planar rational space
UR - http://eudml.org/doc/268398
ER -

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