an:06133381
Zbl 1256.06003
Pach??n, N??stor Ra??l
Ordered elements in a lattice of topologies
ES
Bol. Mat. (N.S.) 17, No. 2, 103-124 (2010).
00314496
2010
j
06B05 06C15 54A10
ordered set; relatively complemented lattice; Boolean lattice; ultratopology; ordinal number
Summary: We exhibit some properties of the orderable elements in a lattice of topologies which are related with the structure and size of the set of successors
in an orderable set. These properties contribute not only to the knowledge of this lattice, but they also offer a research line in this subject for which there are still many questions waiting for an answer.