morphology
发表于 2025-3-21 17:11:14
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Vasoconstrictor
发表于 2025-3-21 21:10:00
Monoid Actions,ly continuous maps. The .,the set of uniformly continuous pseudometrics, provides an equivalent characterization. Recall that a uniformity is metrizable iff it has a countable base. Also a compact space has a unique uniformity consisting of all neighborhoods of the diagonal.
确认
发表于 2025-3-22 02:21:50
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比目鱼
发表于 2025-3-22 08:30:26
Book 1997epeatedly to each neighborhood of its initial position. We can sharpen the concept by insisting that the returns occur with at least some prescribed frequency. For example, an orbit lies in some minimal subset if and only if it returns almost periodically to each neighborhood of the initial point. T
荣幸
发表于 2025-3-22 11:00:25
Introduction,t point of ., when . is a limit point of the orbit sequence {..(.) : . ∈ .} where . is the set of nonnegative integers. This means that the sequence enters every neighborhood of . infinitely often. That is, for any open set . containing ., the entrance time set .(.) = {. ∈ . : ..(.) ∈ .} is infinite
截断
发表于 2025-3-22 15:18:41
Monoid Actions, in fact the class of subspaces of compact Hausdorff spaces. It is also the class of spaces whose topology can be associated with some Hausdorff uniformity. We follow Kelley (1955) in using uniformities, distinguished collections of neighborhoods of the diagonal, to define uniform spaces and uniform
以烟熏消毒
发表于 2025-3-22 17:55:21
Compactifications, linear operator .: .. → .. between . spaces, the operator norm of . can be described as:.Of course by linearity . for all x ∈ ... The set .(.., ..) of all such bounded linear operators is a . space with the operator norm, and its unit ball is the set of operators of norm at most 1. Equivalently:..
较早
发表于 2025-3-22 21:24:19
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armistice
发表于 2025-3-23 03:59:41
Introduction,t point of ., when . is a limit point of the orbit sequence {..(.) : . ∈ .} where . is the set of nonnegative integers. This means that the sequence enters every neighborhood of . infinitely often. That is, for any open set . containing ., the entrance time set .(.) = {. ∈ . : ..(.) ∈ .} is infinite.
傻
发表于 2025-3-23 09:11:14
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