Selection principles and hyperspace topologies
نویسندگان
چکیده
منابع مشابه
Products and Selection Principles
We study when the product of separable metric spaces has the selective screenability property, the Menger property, or the Rothberger property. Our results imply The product of a Lusin set and (1) a Sierpinski set always has the Menger property (Corollary 12); (2) a γ-set always has the Rothberger property (Corollary 13). All topological spaces considered in this paper are assumed to be separab...
متن کاملTree structures, Entropy, and Action Principles for Neighbourhood Topologies
We recast the idea of decision trees as they emerge in Information theory and Complexity theory into a set theoretical language; the result we call tree structures over a given set. We identify all main structural elements of tree structures, the most important of which is the tree function, defined as a sum over certain quantities at every nod in the tree. We show in detail that the minimizati...
متن کاملSelection principles and countable dimension
We consider player TWO of the game G1(A,B) when A and B are special classes of open covers of metrizable spaces. Our results give gametheoretic characterizations of the notions of a countable dimensional and of a strongly countable dimensional metric spaces. The selection principle S1(A,B) states: There is for each sequence (An : n ∈ N) of elements of A a corresponding sequence (bn : n ∈ N) suc...
متن کاملInference Principles and Model Selection
The core problem of statistics and machine learning addresses the question how can we efficiently find a statistical model to describe empirical data. Classical statistical approaches to solve this problem have been complemented during the last 15 years by Neural Computation, a very promising strategy to data analysis. The Dagstuhl seminar on “Inference Principles and Model Selection” — the fou...
متن کاملPrinciples of Attachment Selection
One of the most confusing issues for dentists is choosing the appropriate attachment assembly for implant overdenture cases. They usually ask themselves many questions when it comes to selecting the right attachment assembly. First, which attachment should one use? Would a bar or stud attachments be best? Depending on the answers to those questions, more considerations follow. For instance, whi...
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: 2005
ISSN: 0166-8641
DOI: 10.1016/j.topol.2005.01.020