Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 22, Problem 2A
To determine

To solve the given proportion for T.

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@if {fx. KG A} is collection of Countin uous function on a to Polgical Which separates Points Srem closed set then the toplogy onx is the weak toplogy induced by the Map fx. Prove that using dief speParts Point 1 B closed and x&B in X then Sor some kεA fx (X) fx (B). + space
When ever one Point sets in X are closed a collection of functions which separates Points from closed set will separates Point. 18 (prod) is product topological space then xe A (xx, Tx) is homeomorphic to sub space of the Product space (TXA, prod). KeA The Bin Projection map 18: Tx XP is continuous and open but heed hot to be closed. Acale ctioneA} of continuos function ona topogical Space X se partes Points from closed sets inx iff the set (v) for KEA and Vopen set inx from a base for top on X-
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