Tychonoff expansions with prescribed resolvability properties
نویسندگان
چکیده
منابع مشابه
Tychonoff expansions with prescribed resolvability properties
Article history: Received 22 January 2009 Accepted 1 December 2009 MSC: primary 05A18, 03E05, 54A10 secondary 03E35, 54A25, 05D05
متن کاملResolvability properties via independent families
The authors give a consistent affirmative response to a question of Juhász, Soukup and Szentmiklóssy: If GCH fails, there are (many) extraresolvable, not maximally resolvable Tychonoff spaces. They show also in ZFC that for ω < λ κ , no maximal λ-independent family of λ-partitions of κ is ω-resolvable. In topological language, that theorem translates to this: A dense, ω-resolvable subset of a s...
متن کاملPermutations of finite fields with prescribed properties
For cryptographic applications, the behaviour of the difference map is of importance and since there are no perfect nonlinear (PN) permutations, almost perfect nonlinear (APN) permutations have attracted a lot of attention in the last decades. Costas permutations, which are also extreme with respect to the behaviour of their difference maps, were originally introduced in connection with applica...
متن کاملMesh Construction with Prescribed Properties Near Boundary
A quasi-conformal mapping of the parametric domain onto the underlying physical domain is used to generate a 2D structured mesh with required properties: grid line orthogonality and prescribed mesh point clustering near the domain boundary. The functions implementing the mapping are sought by solving the Dirichlet problem for the elliptic partial differential equations. An additional control fo...
متن کاملResolvability and Monotone Normality
A space X is said to be κ-resolvable (resp. almost κ-resolvable) if it contains κ dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets). X is maximally resolvable iff it is ∆(X)-resolvable, where ∆(X) = min{|G| : G 6= ∅ open}. We show that every crowded monotonically normal (in short: MN) space is ω-resolvable and almost μ-resolvable, where μ = mi...
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: 2010
ISSN: 0166-8641
DOI: 10.1016/j.topol.2009.12.001