A Normal First Countable ccc Nonseparable Space
نویسندگان
چکیده
منابع مشابه
A First Countable, Initially Ω1-compact but Non-compact Space
We force a first countable, normal, locally compact, initially ω1-compact but non-compact space X of size ω2. The onepoint compactification of X is a non-first countable compactum without any (non-trivial) converging ω1-sequence.
متن کاملEvery crowded pseudocompact ccc space is resolvable
We prove that every pseudocompact crowed ccc space is c-resolvable. This gives a partial answer to problems posed by Comfort and Garćıa-Ferriera, and Juhász, Soukup and Szentmiklóssy.
متن کاملCo-adaptive learning over a countable space
Co-adaptation is a special form of on-line learning where an algorithm A must assist an unknown algorithm B to perform some task. This is a general framework and has applications in recommendation systems, search, education, and much more. Today, the most common use of co-adaptive algorithms is in brain-computer interfacing (BCI), where algorithms help patients gain and maintain control over pr...
متن کاملCountable subgroups of Euclidean space
In his paper [1], Konstantinos Beros proved a number of results about compactly generated subgroups of Polish groups. Such a group is Kσ, the countable union of compact sets. He notes that the group of rationals under addition with the discrete topology is an example of a Polish group which is Kσ (since it is countable) but not compactly generated (since compact subsets are finite). Beros showe...
متن کاملOn nowhere first-countable compact spaces with countable π-weight
The minimum weight of a nowhere first-countable compact space of countable π-weight is shown to be κB, the least cardinal κ for which the real line R can be covered by κ many nowhere dense sets.
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: Proceedings of the American Mathematical Society
سال: 1979
ISSN: 0002-9939
DOI: 10.2307/2042121