منابع مشابه
Fréchet Uniform Box Products
The uniform box product was introduced by Scott Williams in 2001, but very little was done with it until the recent (2010 and 2012) [B1], [H1] dissertations of Jocelyn Bell and Jeffrey Hankins. Their results had to do with two questions that Williams posed a decade earlier: whether the uniform box product of compact spaces is normal, and whether it is paracompact. Hankins answered the latter qu...
متن کاملCountable Box Products of Ordinals 123
The countable box product of ordinals is examined in the paper for normality and paracompactness. The continuum hypothesis is used to prove that the box product of countably many a-compact ordinals is paracompact and that the box product of another class of ordinals is normal. A third class trivially has a nonnormal product Because I have found a countable box product of ordinals useful in the ...
متن کاملCardinal invariants for κ-box products
The symbol (XI)κ (with κ ≥ ω) denotes the space XI := Πi∈I Xi with the κ-box topology; this has as base all sets of the form U = Πi∈I Ui with Ui open in Xi and with |{i ∈ I : Ui 6= Xi}| < κ. The symbols w, d and S denote respectively weight, density character, and Souslin number. Generalizing familiar results for the usual product space (the case κ = ω), the authors show inter alia: Theorem 3.1...
متن کاملInner products of box splines and their derivatives
A simple and explicit expression is given for the inner product of (higher order) derivatives of multivariate box splines and their translates. We also show that the energy inner product related to a linear partial differential equation discretized with a set of shifted box splines can be interpreted as a collocation of the problem with a higher order box spline at certain points.
متن کاملOn Cartesian Products Having a Minimum Dominating Set that is a Box or a Stairway
In this note we characterize the pairs of graphs G and H, for which γ(G H) equals min{|V (G)|, |V (H)|}. Notably, assuming that |V (G)| ≤ |V (H)|, G can be an arbitrary graph, and H is a join L ⊕ F , where L is any spanning supergraph of the graph L(G : A1, . . . , A`), which is determined by a partition (A1, . . . , A`) of V (G) and F is any graph such that |V (F )| ≥ |V (G)| − `. Furthermore ...
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: 1982
ISSN: 0166-8641
DOI: 10.1016/0166-8641(82)90059-1