منابع مشابه
A note on the remainders of rectifiable spaces
In this paper, we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces, and how the character of the remainders affects the character and the size of a rectifiable space. Some results in [A. V. Arhangel'skii and J. Van Mill, On topological groups with a first-countable remainder, Topology Proc. 42 (2013...
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To any metric space it is possible to associate the cardinal invariant corresponding to the least number of rectifiable curves in the space whose union is not meagre. It is shown that this invariant can vary with the metric space considered, even when restricted to the class of convex subspaces of separable Banach spaces. As a corollary it is obtained that it is consistent with set theory that ...
متن کاملa note on the remainders of rectifiable spaces
in this paper, we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces, and how the character of the remainders affects the character and the size of a rectifiable space. some results in [a. v. arhangel'skii and j. van mill, on topological groups with a first-countable remainder, topology proc. 42 (2013...
متن کاملRectifiable Pencils of Conics
We describe analytic pencils of conics passing through the origin in C that can be mapped to straight lines locally near the origin by an analytic diffeomorphism. Under a minor non-degeneracy assumption, we prove that in a pencil with this property, almost all conics have 3 points of tangency with the same algebraic curve of class 3 (i. e. a curve projectively dual to a cubic). 2000 Math. Subj....
متن کاملInformation Theory on Rectifiable Sets
Entropy and—maybe even more so—mutual information are invaluable tools for analyzing properties of probability distributions, especially in coding theory. While there are general definitions for both concepts available for arbitrary probability distributions, these tend to be hard to work with and the literature (e.g., [CT06]) focuses on either discrete, or continuous random variables. In this ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1996
ISSN: 0166-8641
DOI: 10.1016/0166-8641(95)00027-5