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
@book{bwmeta1.element.zamlynska-1a7fa809-c5df-4e0a-9133-fb9967bcefd6,
author = {J. C. Mayer and E. D. Tymchatyn},
title = {Containing spaces for planar rational compacta},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1988},
zbl = {0721.54022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-1a7fa809-c5df-4e0a-9133-fb9967bcefd6}
}
J. C. Mayer; E. D. Tymchatyn. Containing spaces for planar rational compacta. GDML_Books (1988), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-1a7fa809-c5df-4e0a-9133-fb9967bcefd6/