Continuity of function | Theorem | f is Continous iff f (Ā) is subset closure of f(A) | metric space

[@OMGMaths]

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[@07ankitanand24]

just a small mistake that (f( f^(-1)(A)) is a subset of A and not equal to A. it is equal iff f is onto. which may not be the case.

[@VikasSharma-xb4ev]

Same problem topology ka rahne par same proof hoga ya different?

[@malihafatima9239]

Mam jii u r great... Bht acha smjhaya... Concept clear ho gia ... Superb ❣️

[@OMGMaths]

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[@malihafatima9239]

@@OMGMaths After your superb vedio lecture, I have already subscribed your channel ☺️☺️

[@OMGMaths]

Thank You 😊

[@aishinikiyara2675]

Very good explanation mam.

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[@saqibshah5307]

thank you mam bht acha smjhate haa app

[@sonali5687]

Can i use this same proof for topological space??

[@reshmakandasi1424]

Same question 😢

[@simplewayofliving]

mam,theorems samajh me toh aa jati hai but karne se beech beech me steps bhool jate hai....what to do?

[@OMGMaths]

written practice is must jo jhada bhuli hai 2-3 time practice karo

[@tulsisoni2598]

Thank you mam 😄

[@OMGMaths]

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[@malikbilal3251]

Bundles of thanks mam.❤

[@OMGMaths]

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[@pushkarkumar3089]

Very nice!!!

[@OMGMaths]

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[@bseacademy2597]

Excellent mam

[@OMGMaths]

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[@harshikeshsingh2648]

Good

[@zahrahayyat7865]

Mam plz ye theorem bh solve krwayen ksi lecture men plz statement ye hai is ki "A mapping of a metric space X into a metric space Y is continuous on X iff f⁻¹(V) is open in X for every open set V in Y"

[@zahrahayyat7865]

Plz mam

[@OMGMaths]

This is the required result.
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[@madhubarman4138]

Thanks mam

[@OMGMaths]

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[@surajchouhan1125]

Regular lecture daliye Mam

[@OMGMaths]

yes sure

[@322-pinkidhobi9]

Let A = {(x, y) ∈ R^2:
X^2− 3y > 5}. Show that A is an open set in (R^2
, d2)
using continuity.

[@vishalmaurya3194]

😍😍