Compactness and the Finite Intersection Property

[@alishermirmanov5608]

Great Video Sir! Amazing video with clear explanation,

[@ErendiraCabrera-x6u]

Clear explanation!!!

[@aboyhya612]

Obvious proof. Thank you mester

[@vishwakarmasharama3237]

Aapke jaisa koi topology kar finite intersection property nahi padha sakta ta hai very good

[@Squiralnuts]

wrong concept you providing us How you can say that if intersection of infinite no sets is empty how you say that the family of same sets with finite intersection also empty. For easy example let A1={2,3,4} A2={3,4,5} and A3={5,6} then intersection of A1, A2, A3 is empty, but intersection of A1, A2 ={3,4} and A2, A3={5}. You are wrong pls read and then teach us

[@Squiralnuts]

he was wrong F.I.P. fails how u can say X compact

[@Squiralnuts]

watch npTEL topology videos

[@blenderstuff7861]

@@Squiralnuts , shut up noob. Watch whole video carefully and then try to understand. Sometimes we judges someone incorrectly due to our less understanding of things. Don't judge him, he taught that correctly.

[@blenderstuff7861]

Great explanation sir

[@wesleyrm]

Thank you!

[@thomasqiao916]

Thank you so much for this video! I've looked so long for a channel that explains topology this well.

[@Squiralnuts]

wrong concept you providing us How you can say that if intersection of infinite no sets is empty how you say that the family of same sets with finite intersection also empty. For easy example let A1={2,3,4} A2={3,4,5} and A3={5,6} then intersection of A1, A2, A3 is empty, but intersection of A1, A2 ={3,4} and A2, A3={5}. You are wrong pls read and then teach us

[@blenderstuff7861]

@Infinity Chess , shut up noob. Watch whole video carefully and then try to understand. Sometimes we judges someone incorrectly due to our less understanding of things. Don't judge him, he taught that correctly.

[@henrytian8612]

The contrapositive of P -> Q is NotQ -> NotP. So isn't the contrapositive in the forward direction: Given any family of sets without FIP and intersection of the entire family is empty, then that implies X is not compact? Seems like the theorem being proved is that: A finite collection of closed subsets F have nonempty intersection the intersection of all closed subsets of F have nonempty intersection? So seems like the arrow is in the wrong place on the board?

[@muskangoel6292]

It was an amazing video..

[@Squiralnuts]

wrong concept you providing us How you can say that if intersection of infinite no sets is empty how you say that the family of same sets with finite intersection also empty. For easy example let A1={2,3,4} A2={3,4,5} and A3={5,6} then intersection of A1, A2, A3 is empty, but intersection of A1, A2 ={3,4} and A2, A3={5}. You are wrong pls read and then teach us

[@Squiralnuts]

he was wrong F.I.P. fails how u can say X compact

[@Squiralnuts]

watch npTEL topology videos

[@humafatima4444]

If finite intersection property fails then how can you say that X is compact??

[@Squiralnuts]

wrong concept you providing us How you can say that if intersection of infinite no sets is empty how you say that the family of same sets with finite intersection also empty. For easy example let A1={2,3,4} A2={3,4,5} and A3={5,6} then intersection of A1, A2, A3 is empty, but intersection of A1, A2 ={3,4} and A2, A3={5}. You are wrong pls read and then teach us

[@Squiralnuts]

he was wrong F.I.P. fails how u can say X compact

[@Squiralnuts]

watch npTEL topology videos

[@douglasmangini8744]

Great!

[@manpreetsingh2525]

Thanks ,, you made it really simple.. can you please also make videos about Alexander subbase lemma and Tychonoff theorem ?

[@Shahn-123]

What is website of professor Amin anyone Know please let me know

[@mathandadventures]

thanks

[@Squiralnuts]

wrong concept you providing us How you can say that if intersection of infinite no sets is empty how you say that the family of same sets with finite intersection also empty. For easy example let A1={2,3,4} A2={3,4,5} and A3={5,6} then intersection of A1, A2, A3 is empty, but intersection of A1, A2 ={3,4} and A2, A3={5}. You are wrong pls read and then teach us

[@blenderstuff7861]

@Infinity Chess , shut up noob. Watch whole video carefully and then try to understand. Sometimes we judges someone incorrectly due to our less understanding of things. Don't judge him, he taught that correctly.

[@Squiralnuts]

wrong concept you providing us How you can say that if intersection of infinite no sets is empty how you say that the family of same sets with finite intersection also empty. For easy example let A1={2,3,4} A2={3,4,5} and A3={5,6} then intersection of A1, A2, A3 is empty, but intersection of A1, A2 ={3,4} and A2, A3={5}. You are wrong pls read and then teach us

[@mahajan2009]

Squiral nuts the intersection of A3 and A1 is empty so the collection {A1, A2, and A3} don’t have the finite intersection property.

[@Squiralnuts]

@@mahajan2009 i am not saying that i am saying that intersection makes smaller set

[@blenderstuff7861]

@Infinity Chess , shut up noob. Watch whole video carefully and then try to understand. Sometimes we judges someone incorrectly due to our less understanding of things. Don't judge him, he taught that correctly.