Topological Space: Basis for Topology. Examples

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Definition of Basis for a Topology. In this video, we are going to discuss the definition of basis for a topology and go over an important example with an extra problem.
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Maksym Zubkov

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Please watch: "Real Projective Space, n=1"
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Basis for topology? More like "Boy, this has got to be" one of the best videos I've seen on this topic. Thank you so much for sharing!

PunmasterSTP

I just loved your evolution from blackboard, with some acceleration of empty times, then writing by hand, then now having the prepared notes passing and you commenting, this line of your evolution will get you into this business very very well. Good luck, and thanks I am learning a lot from youl.

samirelzein

Nice explanations. Upload more examples from Munkres with some key concepts that run through point-set topology. Thank you.

asht

My answer for the question the basis for the discrete topology on X is the set of singletons each element of X.

shoopinc

Very nice explanation, help me lot. Thanks

sayantakrkuila

This is great, thanks!
One thing - while in the example you do show that the given B is a basis for *a* topology on R, you didn't actually show that it's a basis for the standard topology (even though it is).

elliottwalker

the basis woulkd be the singlelton sets

IamBrill

What is the answer of your question? Sir. I'm from India Tamil Nadu. Please

_Selvi-creation.

Answer to question - set of individual points?

clelialacarriere

You are defining basis for a topology and the fact is basis for a topology and basis for the topology are two different things for me...

RideR-SAM

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