Closed subset of a compact set is compact | Compact set | Real analysis | Topology | Compactness

closed subset of a compact set is compact | Compact Set | Real analysis | metric space | Basic Topology | Math tutorials | Classes By Cheena Banga
***Open Cover and sub cover of a set | Definition with Examples.***
• Open cover and Sub cov...
***Real Analysis playlist***
• Real Analysis
***Compactness and connectedness in real analysis definition and theorems | playlist***
• Compactness | Connecte...
useful for Msc | BSC | NET | NBHM | LPU | DU | IIT JAM | TIFR
Other topics covered in playlist:
Heine-Borel theorem
Closed Set | definition | theorems
set is closed iff its complement is open
Bolzano weierstrass theorem : Every infinite bounded subset of R has a limit point.
Definition of Neighbourhood of a point
Definition of Open set
infinite intersection of open sets need not to be open
Union of two NBDS is NBD
Intersection of NBDS is NBD
Superset of a NBD is also a NBD
Every Open interval (a,b) is neighbourhood of each of its points.
Closed interval is neighbourhood of each point except end points.
real numbers is NBD of each real number
Rational numbers set is not the neighbourhood of any of its points.
Metric space | Distance Function | Example
Metric space : Definition and Axioms
Real Analysis : Introduction and Intervals
Union of countable sets is countable
Finite,infinite,equivalent,denumerable,countable sets
Infinite subset of countable set is countable
Field,Ordered Field,complete Ordered Field
Set of Integers is Countable
Supremum and infimum
Set is countably infinite iff it can be written in the form distinct elements
Continuum Hypothesis
Cartesian product of two countable sets is Countable
Set of Rational numbers is Countable
Keep Watching
Math Tutorials
Classes by Cheena Banga
Definition of metric Space
Examples of metric space
Open and Closed sets
Topology and convergence
Types of metric spaces
Complete Spaces
Bounded and complete bounded spaces
Compact spaces
Locally compact and proper spaces
connectedness
Separable spaces
Pointed Metric spaces
Types of maps between metric spaces
continuous maps
uniformly continuous maps
Lipschitz-continuous maps and contractions
isometries
Quasi-isometries
notions of metric space equivalence
Topological properties
Distance between points and sets
Hausdorff distance and Gromov metric
Product metric spaces
Continuity of distance
Quotient metric spaces
Generalizations of metric spaces
Metric spaces as enriched categories
Compactness in Real analysis
compactness in metric space
compactness in topology
compactness and connectedness in real analysis
compactness and connectedness
compactness in topological space
Connectedness in Real analysis
connectedness in metric space
connectedness in topology
connectedness in topological space
Theorems on connectedness
theorems on compactness

[@sabafatmanoori5472]

Super mam ... nd no doubt .. Also it doesn't matter how many likes dislikes or subscribers u have...believe in ur self that u r seriously teaching very well....😊

[@OMGMaths]

Thank You 😊

[@gunjankakkar9073]

I have watched alot of videos..bt my doubts were not cleared at all... Bt ur explaination is so clear..Gbu🥰

[@gunjankakkar9073]

Great mam...u explain so clearly.. I wish i could find more teachers like u for other maths also

[@rajveermeghwanshi2099]

Yes explain very clear

[@rajendrabehera9835]

Hii

[@sonad490]

Thanx for ur video 🙏🙏👍

[@gautamiwankhede6357]

bahut badhiya maam....keep up the work

[@suryasainivedithasurya7749]

Thnx for providing such a understandble vedio mam,

[@OMGMaths]

Thanks for liking “subscribe” and press 🔔 for updates. Click here to find more videos on Real Analysis: kzbin.info/aero/PLYisSyPLgRv7nqpvKXN7vbMuGM1LT8zwy

[@Advancedmathematics333]

Thanks

[@monikachauhan8956]

Simplest and great explanation, 👌 thanku so much 🙏😊Bhut confused thi,but ab clear hai ye theorm

[@OMGMaths]

Most welcome 😊 "subscribe" for updates.

[@snzmathematics5681]

Thanku worthy Mam Ur approach is awesome 🙏🙏🙏🙏

[@OMGMaths]

It's my pleasure 🙏 Subscribe kzbin.info and press 🔔 for notifications. Keep Watching…and Share with others.

[@ritikathakur6178]

Your teaching skills are brilliant 💯💯💯✨✨✨

[@OMGMaths]

Glad it was helpful 😊 Subscribe kzbin.info and press 🔔 for notifications. Please Keep Watching and Share with others.

[@nayaabahmedn8228]

Thanks for amazing help

[@OMGMaths]

Thank You 😊 Your appreciation means a lot lot for me….Please write your valuable reviews at g.page/r/CRP90Pt3uFhFEAg/review Like ,share and Subscribe.

[@sitakaushal7153]

🤗thanku

[@SANOJKUMAR-eh1jj]

Thanks you so much maam...🙏🙏🙏🙏

[@OMGMaths]

Most welcome 😊 Keep Watching and Share with others…

[@devanshiagnihotri4472]

Easiest

[@OMGMaths]

Thank you 😊 If you're finding my math lessons helpful and engaging, I kindly request you to share them with your fellow students, classmates, and anyone who could benefit from the content.

[@KhemchandMatlani]

Thanks mam hum exam me pass ho jayega

[@OMGMaths]

I'm so glad! Thank You🙏 If you're finding my math lessons helpful and engaging, I kindly request you to share them with your fellow students, classmates, and anyone who could benefit from a little mathematical magic. Together, let's make learning math a fun and exciting journey!

[@smvlog6130]

Ma'am,ultimately this proof says that any subset of compact set compact right? Where is the thing that subset is closed? Ma'am ease reply..

[@ml.rahul2469]

thanks a lot mam

[@OMGMaths]

Most welcome 😊 Subscribe kzbin.info and press 🔔 for notifications.

[@pushkarkumar3089]

Fine!!!

[@OMGMaths]

Thank you 😊 Keep Watching… Please Share with others if u like it…

[@pushkarkumar3089]

Yes~yes

[@cancerian4890]

Closed subspace k Liye b yhi proof ho ga Kya?

[@pragyagupta370]

intersection of G alpha,i and F is F right? The third last step?

[@ayanamaiti2823]

Yeah

[@OMGMaths]

kzbin.info/www/bejne/amWpc3ubd9WVppI : please watch this video and u will be able to understand the concept.

[@OMGMaths]

That step is not wrong you must watch this kzbin.info/www/bejne/amWpc3ubd9WVppI

[@VolatileGuy103]

god

[@OMGMaths]

Thank you 😊 “Subscribe” and press 🔔 for updates.

[@SANOJKUMAR-eh1jj]

Eska pdf kha nhi milega ....kya ,maam

[@OMGMaths]

Sorry,I don’t have…

[@dhananjaytudu6864]

12:42 me mujhe samaj nahi aya madam

[@Jquee999]

if yo do an intersection of a set A with any set, the result will we subset of A only. So with that in mind, the result will be contained in A only. That is what is stated there.

[@prakashregar9760]

Great mam...u explain so clearly.. I wish i could find more teachers like u for other maths also