道学气
发表于 2025-3-23 10:59:26
http://reply.papertrans.cn/29/2838/283796/283796_11.png
defuse
发表于 2025-3-23 17:47:44
http://reply.papertrans.cn/29/2838/283796/283796_12.png
ERUPT
发表于 2025-3-23 19:51:26
Methode,A set M in a metric space is said to have . if and only if for every . 0, M is the union of a finite number of connected sets, each of diameter less than ..
火花
发表于 2025-3-24 00:10:44
Die marxistische WirtschaftstheorieA sequence ... in a metric space is said to be a . if for every . 0 there exists an integer . such that if ., then ....) < ..
Palatial
发表于 2025-3-24 04:37:55
Sets and Operations with SetsWe shall somewhat imprecisely consider a set to be a collection of objects which satisfy a certain property. This is by no means a rigorous definition, and strictly speaking we shall not define the term set. We shall instead assume that the reader has an intuitive feeling for what constitutes a set and proceed accordingly.
机警
发表于 2025-3-24 08:33:18
SpacesA . is a set . of elements together with a distinguished class of subsets called open sets satisfying the following axioms:
背心
发表于 2025-3-24 14:39:33
Compact Sets and Bolzano-Weierstrass SetsA set . in a topological space . is said to be . if and only if any collection of open sets covering . (i.e., ∪G ⊃ .) has a finite subcollection also covering .
lactic
发表于 2025-3-24 15:20:41
FunctionsIf . and . are two topological spaces, a . from . to . is any law which assigns to each element of . a unique element of . The action of this law is represented by . = ., where . ∊ . ∊..
jaunty
发表于 2025-3-24 21:16:57
http://reply.papertrans.cn/29/2838/283796/283796_19.png
HOWL
发表于 2025-3-25 01:01:38
Diameters and DistancesFor any set ., the .(.) is the l.u.b. (finite or infinite) of the aggregate of numbers [.(x, y)] for . ∊ ..