A Jones space that is not countable dense homogeneous
نویسندگان
چکیده
منابع مشابه
New Types of Almost Countable Dense Homogeneous Space
In 1972, Bennett studied the countable dense homogeneous CDH spaces and in 1992, Fitzpatrick, White, and Zhou proved that every CDH space is a T1 space. Afterward Bsoul, Fora, and Tallafha gave another proof for the same result, also they defined the almost CDH spaces and almost T1, T0 spaces, indeed they prove that every ACDH space is an almost T1 space. In this paper we introduce a new type o...
متن کاملNearly Countable Dense Homogeneous Spaces
We study separable metric spaces with few types of countable dense sets. We present a structure theorem for locally compact spaces having precisely n types of countable dense sets: such a space contains a subset S of size at most n−1 such that S is invariant under all homeomorphisms of X and X \ S is countable dense homogeneous. We prove that every Borel space having fewer than c types of count...
متن کاملA countable dense homogeneous set of reals of size א
We prove there is a countable dense homogeneous subspace of R of size א1. The proof involves an absoluteness argument using an extension of the Lω1ω(Q) logic obtained by adding predicates for Borel sets. A separable topological space X is countable dense homogeneous (CDH) if, given any two countable dense subsets D and D′ of X, there is a homeomorphism h of X such that h[D] = D′. The main purpo...
متن کاملAcademic nepotism – all that glitters is not gold
Dear Editor With increasing emphasis on publications forfaculty recruitment, career advancementand obtaining research grants, the issues relatedto author kinship and academic nepotism havegrown significantly and these probably reflectthe inflationary growth rather than the optimalgrowth warranted due to increasing researchcomplexity. Allesina S (1) measured the fullmagnitude of nepotism in the ...
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: 1993
ISSN: 0166-8641
DOI: 10.1016/0166-8641(93)90105-m