CONTENTS1. Introduction............................................................................................................................................. 52. Notation and. terminology................................................................................................................... 63. Description of G.................................................................................................................................... 64. Preliminaries to the main result........................................................................................................ 135. The main result..................................................................................................................................... 156. Lemmas on Property X......................................................................................................................... 167. Construction of certain open sets...................................................................................................... 208. Constructing homotopy centerlines.................................................................................................. 249. Patterns on the sides of Δ.................................................................................................................. 2810. The AB-condition................................................................................................................................. 3011. Types of simple closed curves......................................................................................................... 3212. Similar patterns................................................................................................................................... 3613. Property II.............................................................................................................................................. 4014. Construction of homotopy-............................................................................................. 4215. Proof of Lemma 3................................................................................................................................ 45References.................................................................................................................................................. 46
@book{bwmeta1.element.desklight-a6d0c17b-eb73-4f18-8095-0eff0cd8ef51, author = {S. Armentrout}, title = {A decomposition of $E^3$ into straight arcs and singletons}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1970}, zbl = {0204.55901}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-a6d0c17b-eb73-4f18-8095-0eff0cd8ef51} }
S. Armentrout. A decomposition of $E^3$ into straight arcs and singletons. GDML_Books (1970), http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-a6d0c17b-eb73-4f18-8095-0eff0cd8ef51/