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Dense Sets

112 ratings | 13842 views
The concept of a dense set is introduced.
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Text Comments (9)
Kohei Miyazaki (5 months ago)
If you take M=X={0}, then M is dense in X since the closure of M is equal to X. However, there exists an element of X, namely 0, which is NOT a limit point of M since no epsilon balls around 0 contain a point of M distinct from 0, which contradicts your definition of M being dense in X. Could you please explain this?
Jitendra Jangid (9 months ago)
how can we prove dence set is countable? matric space may be uncountable
Sharjil Haque (1 year ago)
many thanks ! awesome explanation - really helps visualizing it.
Nana nana (1 year ago)
Amazing video for those that need to picture the concept visually
the heck (3 months ago)
Nana nana I still not understanding what a topology visually represents, thing that gets even worse when talking about topological spaces xd
Hongbin Guo (2 years ago)
thanks! That's helpful
Bahram Keyvan (2 years ago)
Thank you!
Matěj Svoboda (2 years ago)
Thanks for your video, it was verry helpful for me
smileinnowhere (2 years ago)
dude, you are amazing!!!!!!! do you teach in college?

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