منابع مشابه
Irreducible representations of metrizable spaces and strongly countable-dimensional spaces
We generalize Freudenthal’s theory of irreducible representations of metrizable compacta by inverse sequences of compact polyhedra to the class of all metrizable spaces. Our representations consist of inverse sequences of completely metrizable polyhedra which are ANR’s. They are extendable: any such representation of a closed subspace of a given metrizable space extends to another such of the e...
متن کاملOn spaces in countable web
Improving a result from the paper “Spaces in countable web” by Yoshikazu Yasui and Zhi-min Gao we show that Tychonoff spaces in countable discrete web may contain closed discrete subsets of arbitrarily big cardinality.
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 کاملOn Radon measures on first-countable spaces
It is shown that every Radon measure on a first-countable Hausdorff space is separable provided ω1 is a precaliber of every measurable algebra. As the latter is implied by MA(ω1), the result answers a problem due to D. H. Fremlin. Answering the problem posed by D. H. Fremlin ([4], 32R(c)), we show in this note that, assuming (∗) ω1 is a precaliber of every measurable Boolean algebra, every Rado...
متن کاملPartitions and indivisibility properties of countable dimensional vector spaces
8 We investigate infinite versions of vector and affine space partition 9 results, and thus obtain examples and a counterexample for a parti10 tion problem for relational structures. In particular we provide two 11 (related) examples of an age indivisible relational structure which is 12 not weakly indivisible. 13
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 Japan Academy, Series A, Mathematical Sciences
سال: 1958
ISSN: 0386-2194
DOI: 10.3792/pja/1195524751