Homogeneity properties in large compact S-spaces

dc.creatorde la Vega, Ramiro
dc.date2004-08-24
dc.date.accessioned2026-07-07T05:11:32Z
dc.date.available2026-07-07T05:11:32Z
dc.descriptionUnder Jensen's Diamond Principle, we show how to construct a large compact S-space while having some control over its group of autohomeomorphisms. In particular we can make the space rigid or h-homogeneous (i.e. any two clopen subsets are homeomorphic). We also get a space which is B-homogeneous and not h-homogeneous, partially answering a question of M.V. Matveev. A space is B-homogeneous if it has a base every element of which can be mapped onto every other one by a homeomorphism of the whole space.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0408339
dc.identifierhttp://arxiv.org/abs/math/0408339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72277
dc.subjectGeneral Topology
dc.subject54G20
dc.titleHomogeneity properties in large compact S-spaces
dc.typetext

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