Representable topologies and locally connected spaces
نویسندگان
چکیده
منابع مشابه
Weaker connected and weaker nowhere locally compact topologies for metrizable and similar spaces
We prove that any metrizable non-compact space has a weaker metrizable nowhere locally compact topology. As a consequence, any metrizable non-compact space has a weaker Hausdorff connected topology. The same is established for any Hausdorff space X with a σ -locally finite base whose weight w(X) is a successor cardinal. 2002 Elsevier Science B.V. All rights reserved. AMS classification: Prima...
متن کاملThe Structure of Locally Connected Topological Spaces
0.1. This paper presents an investigation of the following problem. Exhibit a class X of topological spaces which contains all peano spaces and which has the following properties: (1) a cyclic element theory exists in each space of the class, (2) the abstract set consisting of all cyclic element of any space X of the class can be topologized so as to be a member of the class X, and (3) the hype...
متن کاملOne Dimensional Locally Connected S - spaces ∗ Joan
We construct, assuming Jensen’s principle ♦, a one-dimensional locally connected hereditarily separable continuum without convergent sequences.
متن کاملOne Dimensional Locally Connected S - spaces ∗
We construct, assuming Jensen’s principle ♦, a one-dimensional locally connected hereditarily separable continuum without convergent sequences.
متن کاملDomain Representable Spaces and Completeness
We survey a family of interrelated open questions that link classical completeness theories of Oxtoby, Choquet, and de Groot to the newer area of domain-representable topological spaces. MR classification Primary = 54E52; Secondary = 54E30, 54F05, 54C35, 54H99,06F30
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2007
ISSN: 0166-8641
DOI: 10.1016/j.topol.2006.05.011