Metric Spaces | Lecture 41 | Set of Interior Points is an Open Set

[@Mu_utd]

GOD BLESS YOU

[@rajasria7224]

Ur videos really helpful sir 😊🎉

[@subhasispatra1519]

Good explanation sir ❤️

[@jyotijangra1962]

Very well explained 👍🏻
Thank you so much ✨

[@ranjankhatu]

Most welcome

[@mirror_03]

Bahot acha explanation hai💝😇

[@ranjankhatu]

Thank you for your comment

[@KORaju-nd7pt]

Very good teaching.

[@ranjankhatu]

Thank you

[@zinebbouzaouit]

thank you .. but mind me if i ask a question ?
how is proving that G is a subset of A interior enough ? dont we have to prove that the union of all subsets of G is a subset of A interior ?

[@ranjankhatu]

Here G is any arbitrary open subset of A. That is , it is a representative of all such open sets. If is a subset of A that mean all sets are subset of A and hence their union also

[@zinebbouzaouit]

thank you !@@ranjankhatu

[@tharushinisansala2147]

Thank you sir

[@VikasKumar_iitb]

good

[@PrasenjitDhara-n8e]

Thank you for your nice lecture video. However, I have a small doubt. Equation 3 is derived from the property of open set. Therefore, B(x, r) subset (equal) to G. However, you consider it as proper subset. Would you kindly point out why do you consider it as proper (strict) subset? Thank you again for the lecture.

[@ranjankhatu]

Please consider it as a subset only

[@PrasenjitDhara-n8e]

@@ranjankhatu Thank you.

[@rajeevkumarsharma4984]

Doing msc math after 5 year gap from panjab University chd.. nice explain..do u have any playlist for other subjects like Algebra..complex analysis

[@ranjankhatu]

Yes. You can visit my channel. You will get many playlists there

[@waadii7037]

Love and respect
Sir would you recommend me book of topology which you sir used ❤

[@ranjankhatu]

Book of Khalil Ahmed

[@ranjankhatu]

Book of Kumaresan

[@waadii7037]

Thank you sir ❤