CONTENTS
1. Introduction.............................................................................5
2. Ordered scattered spaces......................................................6
 2.1. Topological type..................................................................6
 2.2. Ordered spaces..................................................................6
 2.3. Rim-type.............................................................................9
 2.4. Disk partitions.....................................................................9
3. 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...................................20
4. Embedding Theorem.............................................................21
5. 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........26
References................................................................................26