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Lesson Posted on 26/09/2018 Learn Mathematics +1 BSc Mathematics

SEPARATION AXIOMS | Topology

Shruti

Regular Spaces:The properties of topological spaces are in general quite different from those of metric spaces, so some additional restrictions are often imposed on a topology in order to bring the properties of the correspondingspace closer to those of metric spaces. Definition: A space X is T3 if... read more

Regular Spaces:The properties of topological spaces are in general quite different from those of metric spaces, so some additional restrictions are often imposed on a topology in order to bring the properties of the corresponding
space closer to those of metric spaces.

Definition: A space X is T3 if for each point x ∈ X and each closed set F ⊆ X with x /∈ F, there are disjoint open sets U and V such that x ∈ U and F ⊆ V . The space X is called regular if it satisfies both T1 and T3 axioms.

Normal Spaces: Topological spaces satisfying this condition are quite close to metric spaces; in fact, it gives a characterisation of second countable metric spaces. We will also see that a continuous function defined on a closed subspace of a topological space with this property admits a continuous extension to the whole space.

Definition: A space X is T4 if each pair of disjoint closed subsets of X have disjoint nbds. X is normal if it satisfies both the T1 and T4 axioms.

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Answered on 11/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Rachna Sharma

Chemistry Tutor

You can prepare for CSIR/NET or GATE exam. You can also do B.ed and you can apply for government post graduate teacher also.
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Answered on 25/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Shubham Singla

Mathematics is life

First of all it is not msc it is bsc.now answer of ur question it have some advantages and some disadvantages First disadvantages U have to take care of both studies bsc +coaching which become difficult and if ur focus is on coaching so do it independent because if u want to achive some thing u have... read more

First of all it is not msc it is bsc.now answer of ur question it have some advantages and some disadvantages

First disadvantages

U have to take care of both studies bsc +coaching which become difficult and if ur focus is on coaching so do it independent because if u want to achive some thing u have to fully focused on that thing

Now advantage

It always increase ur knowledge

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Answered on 21/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Sachin Sheoran

In bitb places you learn somethng, In school you learn management of students at some smaller salary But in coaching institute you will get good salary but at leese chance of learning of management
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Answered on 19/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Abhyaas Coaching Centre Indirapuram

You can be a Good Physics Professor
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Answered on 21/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Pawar Jyotiba

I hv chemistry teacher qualified CSIR -UGC-NET & GATE with all India rank -6 with 5 years tec exp...

U try for best gate exam this is good option for u .lot of chances their getting the good carrier opportunity.but gate rank is good in this engg field .
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Answered on 21/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Dhaarini Academy of Technical Education

yes it is
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Answered on 09/07/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Dr. Pratibha Bhawar

Chemistry Magician

yes
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Answered on 21/08/2018 Learn Mathematics +3 MSc Tuition Physics Statistics

Dhaarini Academy of Technical Education

yes very good scope
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