dc.contributor.author |
Nadler, SB |
|
dc.contributor.author |
Pellicer-Covarrubias, P |
|
dc.date.accessioned |
2011-01-22T10:26:17Z |
|
dc.date.available |
2011-01-22T10:26:17Z |
|
dc.date.issued |
2007 |
|
dc.identifier.issn |
0362-1588 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1167 |
|
dc.description.abstract |
A space is 1/2-homogeneous provided that there are exactly two orbits for the action of 2 the group of homeomorphisms of the space onto itself. Let X be a nonempty compact metric space such that the cone over X is 1/2-homogeneous. It is shown that if X is finite-dimensional, then X is an absolute neighborhood retract. A general theorem is proved which shows that finite dimensionality is necessary. It is shown that if X is a 1-dimensional continuum or if X does not contain certain types of triods in some nonempty open set, then X is an arc or a simple closed curve (assuming Cone(X) is 1/2-homogeneous). A number of corollaries are derived. Some unanswered questions are stated. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Cones that are 1/2-homogeneous |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
1158 |
|
dc.source.novolpages |
33(1):229-247 |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
absolute (neighborhood) retract |
|
dc.subject.keywords |
arc |
|
dc.subject.keywords |
arc-like |
|
dc.subject.keywords |
atriodic |
|
dc.subject.keywords |
circle-like |
|
dc.subject.keywords |
cone |
|
dc.subject.keywords |
connected im Kleinen |
|
dc.subject.keywords |
contimuum |
|
dc.subject.keywords |
contractible |
|
dc.subject.keywords |
dendrite |
|
dc.subject.keywords |
dimension |
|
dc.subject.keywords |
finite graph |
|
dc.subject.keywords |
Hilbert cube |
|
dc.subject.keywords |
homogeneous |
|
dc.subject.keywords |
1/2-homogeneous |
|
dc.subject.keywords |
1/n-homogeneous |
|
dc.subject.keywords |
homotopically labile point |
|
dc.subject.keywords |
homotop |
|
dc.relation.journal |
Houston Journal of Mathematics |
|