Open sets and topology? More like "This has got to be" one of the absolute best videos that introduce these topics. Thanks so much for making and sharing it!
These questions recalled the 1st question of the 1st test in our point set topology class many years ago: list all possible topologies for a set of 3 elements (say X={a,b,c}). The given answer spanned a full page (a website said there are 29).
10:44 explanation on {1,2} is an open set, isn't {1,2} a discreet set with 2 non-trivial elements? ]1,2[ makes it look like a continuous interval with open ends.
@@aos_mkwii Hi, please tell me a very easy youtube course or book name on functional analysis so that i can easily understand this topic. Please, inform me.
You are such a good teacher who gave abundant examples and explanations
Open sets and topology? More like "This has got to be" one of the absolute best videos that introduce these topics. Thanks so much for making and sharing it!
Thank you so much we really need more content like this
great work keep them coming
These questions recalled the 1st question of the 1st test in our point set topology class many years ago: list all possible topologies for a set of 3 elements (say X={a,b,c}). The given answer spanned a full page (a website said there are 29).
The concept of topology is so similar to sigma-algebra? I'm new to these, anyone can clarify it?
That was pretty well down!
The only prerequisite to this playlist is calculus 1,2,3 and 4?
Tq sir your example useful for me sir
10:44 explanation on {1,2} is an open set, isn't {1,2} a discreet set with 2 non-trivial elements? ]1,2[ makes it look like a continuous interval with open ends.
YEAH, this confused me too
Yah! I m confused too.
Elements of T are called open sets, by definition.
Very Nice
nice explanation!!!
Why isn't the first family T the Topology? {The empty, {1,2}, {3,4}, {1,2,3,4}, X}? Could you please give me an explanation? Thank you so much :)
He said incorrectly that the first T is not a topology but it is a topology.
@@englisharabic3133 you are a hero, thank you.
Yes. I also have the same dout.... i cant see any problem in First one for becoming topology...
@@englisharabic3133 Thanks, I was confused at that moment
I didn't understand about closed set. Because it's possible to operate that {1,2} is x\{3,4,5}. please, explain it for us.
Sorry, I'm stupid. I'm understanding now.
@@tofiqkhan6645 helo
@@aos_mkwii Hi, please tell me a very easy youtube course or book name on functional analysis so that i can easily understand this topic. Please, inform me.
@@tofiqkhan6645 I know it's been awhile, but I'd recommend checking this one out:
ruclips.net/p/PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr
Thank you so much....
Sir i have discovered the formula which gives the number of topology on any finite set
I would be interested in seeing your formula
At 2.00, the empty set is not in T. But isn't the empty set a subset of all sets?
About Open and Closed Set, what is the elements aren't ordered. How does it work then?
where is the pdf?
drive.google.com/file/d/0B9ypuUWMHGDaOEg3THN5Z0tXVEU/view might be this one
@@mcab2222 Hey murat, can I get access to notes ? I really need it :)
@@mcab2222 Also requested to share this pdf file. Please kindly confirm. Thank you, Murat!
Neighborhood 12:57
To slow
*too