Finding the Interior, Exterior, and Boundary of a Set Topology

[@he_is_mark]

really helpful, I'm having a topology exam tomorrow, i feel confident thanks to you

[@Shlungoidwungus]

The explanation is good but I think it'd be better served with another example, one that doesn't make use of finite sets particularly.
They're good for introductions to a topological concept but they don't often carry well to uncountably infinite spaces like R or R^2.

[@TheMathSorcerer]

Thank you😄

[@zerotoinfinity8734]

Thanks sir for nice explanation ❤🇧🇩🇧🇩

[@cold2407]

I just wanna to know why bdA is {b,d}. What is closure of A and A’s complement?

[@Mulkek]

Thanks, and it's so easy & simple!

[@princekay7748]

Great video. Thanks

[@bonbonvrock84]

Just didn't get the ext(A) part..
I thought that since b is not an interior point or the complement of A then it would be the exterior point?

[@94theengineer]

related question but co finite topology on real line, if A=(3,4)U{5}. What would the int(A), cl(A) and b(A) be?

[@shukhratergashov9289]

Awesome 👏

[@speedyphoton5495]

Thanks so much for your videos!!!
They've really helped me a lot.

[@esraasalamaq]

Thanks for translation in Arabic

[@TheMathSorcerer]

😀

[@najaweed9200]

clean high definition of concept

[@planetofmathematics4099]

Really it's very helpful

[@TheMathSorcerer]

Awesome

[@OmarOmar-wk6qu]

thank you so much, thats was so helpful

[@TheMathSorcerer]

awesome!

[@rawshankoye5172]

Thank you, its helpful 😊

[@TheMathSorcerer]

:)

[@mohamedali-im6jf]

Thank you very much

[@veerendraharshal4622]

Sir,
Isn't d inside X which by definition is part of the Topology Tau?
Shouldn't d therefore be in the interior?

[@TheMathSorcerer]

X is not contained in A, so no, go to 3:14 or so in the video

[@md.arifulislam8853]

Thanks.

[@МахсудаАбдалимова]

Thank you for your explaining. b(A°) is a subset of b(A)??I must prove it. Help me pleaseeee

[@crnohd]

thanks
you helped me

[@TheMathSorcerer]

hey np thanks for watching:)

[@lerneninverschiedenenforme7513]

as far as I know: the complement of something and its 'not-complement' together are everything. So how come, that we still have a 'boundary' left. That would make S^C not the real complement, would it?

[@AdamFidler1]

The exterior is the interior OF the complement. Notice an interior is always open, since it's considered the largest open set contained within the set in question. Basically, it just doesn't include the boundary anyway when we take the interior of a complement.

[@ghadamahmoud4720]

Thanks

[@TheMathSorcerer]

np:)

[@mabdullahabdullah2967]

woo vry gud plz also givs more thanks

[@Parvezbt]

very helpful

[@aarifhussain1620]

p not necessarily in A its any point of X...

[@anldemirel8429]

eyvallah reyiz

[@masudurrahmansiam7154]

Don't understand

[@karl909]

Skill issue.