Shifts on zero-dimensional compact metric spaces
نویسندگان
چکیده
منابع مشابه
On Zero-dimensional Continuous Images of Compact Ordered Spaces
Throughout this paper X denotes a compact and zero-dimensional Hausdorr space. We shall be concerned with Theorem 0.1 The following assertions are equivalent. (A) X is the continuous image of a compact ordered space. (B) X is the continuous image of a zero-dimensional compact ordered space. (C) X has a T 0-separating cross-free family of clopen sets. (D) X has a T 0-separating non-Archimedian f...
متن کاملCompact Quantum Metric Spaces
We give a brief survey of many of the high-lights of our present understanding of the young subject of quantum metric spaces, and of quantum Gromov-Hausdorff distance between them. We include examples. My interest in developing the theory of compact quantum metric spaces was stimulated by certain statements in the high-energy physics and string-theory literature, concerning non-commutative spac...
متن کاملPerfect Images of Zero-dimensional Separable Metric Spaces
Let Q denote the rationals, P the irrationals, C the Cantor set and L the space C {p} (where p e C). Let / : X —> Y be a perfect continuous surjection. We show: (1) If X G { Q , P, QxP} , or if / is irreducible and Xe{C, L}, then Y is homeomorphic to X if Y is zero-dimensional. (2) If X G {P, C, L} and / is irreducible, then there is a dense subset S of Y such that / | /*~[S] is a homeomorphism...
متن کاملCovering compact metric spaces greedily
Abstract. A general greedy approach to construct coverings of compact metric spaces by metric balls is given and analyzed. The analysis is a continuous version of Chvátal’s analysis of the greedy algorithm for the weighted set cover problem. The approach is demonstrated in an exemplary manner to construct efficient coverings of the n-dimensional sphere and n-dimensional Euclidean space to give ...
متن کاملLearning Over Compact Metric Spaces
We consider the problem of learning on a compact metric space X in a functional analytic framework. For a dense subalgebra of Lip(X), the space of all Lipschitz functions on X, the Representer Theorem is derived. We obtain exact solutions in the case of least square minimization and regularization and suggest an approximate solution for the Lipschitz classifier.
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: 2012
ISSN: 0166-8641
DOI: 10.1016/j.topol.2012.08.012