(CSIR-NET/JRF /GATE) Proof of Urysohn's Lemma - By Chetna Biswas

The main aim of mathspole is to help students with higher mathematics.
In this session, we will discuss about Properties of Normal spaces. Topology is a vast subject , and questions from topology are asked in NET, GATE, even in govt, job exams for Assistant professor and all, like (UPHESC,UPPSC etc) . Every property is explained from the very beginning, and in simple language , So that every body can understand the concept.
Topology is a topic , from which many students get uncomfortable, with this mathspole, your fear will be gone I am sure.
Have a look ...
#Topology #ChetnaBiswas
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L1-(CSIR NET-JRF /GATE)All about metric spaces (Topology Lecture 1) -By Chetna Biswas
• (CSIR NET-JRF /GATE) A...
L2-(CSIR NET-JRF /GATE) Topological spaces and their Important Examples -By Chetna Biswas
• (CSIR NET-JRF /GATE) T...
L3-(CSIR NET-JRF /GATE) Comparable Topologies, Neighborhoods and Interior points - By Chetna Biswas
• (CSIR NET-JRF /GATE) C...
L4-(CSIR NET-JRF /GATE) Nowhere Dense Sets and Basis of a Topology (Lecture -4) -By Chetna Biswas
• (CSIR NET-JRF /GATE) N...
L5-(CSIR NET-JRF /GATE) Bases/Sub-bases/Subspace Topology-By Chetna Biswas
• (CSIR NET-JRF /GATE) B...
L6-(CSIR NET-JRF /GATE/IIT -JAM) About Continuous functions /Open maps / Closed maps - By Chetna Biswas
• (CSIR NET-JRF /GATE/II...
L7-(CSIR NET-JRF /GATE) Homeomorphisms - By Chetna Biswas
• (CSIR NET-JRF /GATE) H...
L8-(CSIR NET-JRF /GATE) All about Product Topology and Projection maps - By Chetna Biswas
• (CSIR NET-JRF /GATE) A...
L9-(CSIR NET-JRF /GATE) Connectedness Property of a Topological Space-By Chetna Biswas
• (CSIR NET-JRF /GATE) C...
L10-(CSIR-NET/JRF /GATE) Topology Previous Year Questions (2011-19) -By Chetna Biswas
• (CSIR-NET/JRF /GATE) T...
L11-(CSIR-NET/JRF /GATE) Path Connected Spaces -By Chetna Biswas
• (CSIR-NET/JRF /GATE) P...
L12-(CSIR-NET/JRF /GATE) Locally Connected Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) L...
L13-(CSIR-NET/JRF /GATE) Housdorff Topological Spaces / T-2 Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) H...
L14-(CSIR-NET/JRF /GATE) Locally Path Connected Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) L...
L15-(CSIR-NET/JRF /GATE) T0 and T1 - Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) T...
Previous Year Questions CSIR-NET (2012 -17) Topology-By Chetna Biswas
• Previous Year Question...
L16-(CSIR-NET/JRF /GATE) First and Second Countable Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) F...
L17-(CSIR-NET/JRF /GATE) Compact Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) C...
L18-(CSIR-NET/JRF /GATE) Finite Intersection Property - By Chetna Biswas
• (CSIR-NET/JRF /GATE) F...
L19-(CSIR-NET/JRF /GATE) Properties of compact spaces (Part 1) - By Chetna Biswas
• (CSIR-NET/JRF /GATE) P...
L20-(CSIR-NET/JRF /GATE) Properties of compact spaces (Part 2) - By Chetna Biswas
• (CSIR-NET/JRF /GATE) P...
L21-(CSIR-NET/JRF /GATE) Regular Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) R...
L22-(CSIR-NET/JRF /GATE)Locally Compact Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE)Lo...
L23-(CSIR-NET/JRF /GATE) Normal Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) N...
L24-(CSIR-NET/JRF /GATE) Theorem for Normal Spaces - By Chetna Biswas
• (CSIR-NET/JRF /GATE) T...
Are you smart enough to crack this puzzle (Puzzle 1)? - By Chetna Biswas
• Are you smart enough t... ​​
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[@mathematics4311]

Ma'am assistance professor preparation ke leye ye theorm kase use hoge

[@mathematics4311]

Maan uphese ke leye preparation Kar rahe ha to Aap NE Jo padaya ha vo sufficient ha kya

[@yadavsourabh]

Real analysis ke liye question practice book konsi shi h for csir

[@mathspole]

Dips academy

[@mukundmadhavmishra4582]

Not every two intervals in R are homeomorphic. Homeomorphism is within the categories of closed, open, left closed and right closed intervals. Any uncountable set is NOT homeomorphic to the set of natural numbers N. Q, with induced topology from R or with metric topology is not homeomorphic to N.

[@mathspole]

I mean non-empty intervals
math.stackexchange.com/questions/1962135/show-that-any-non-empty-interval-of-mathbbr-is-homeomorphic-to-mathbbr

[@mukundmadhavmishra4582]

Even non-empty intervals are not homeomorphic. A closed interval is not homeomorphic to an open interval, not even to semi-closed interval.

[@mukundmadhavmishra4582]

The question given in the link itself is wrong. A closed interval is not homeomorphic to R. Finite closed interval is compact, but R is not compact.

[@kazama2556]

Hello mam 🙏

[@mathspole]

Hi

[@jeyanthirathi9190]

Can you teach in English mam ?