kanha classes

Unit 3 Topology Continuity lecture 6

Unit 3 Topology Continuity lecture 5

Unit 3 Topology Continuity lecture 4

Unit 3 Topology lecture 3 continuity

Lecture 1 on continuity... Topology

Thm of Complete Lattice..Topology

Lindelof space and Lindelof theorem

last thm of separable space.. prove C subscript is countable.. basic definition of cover, subcover.

Thm based on boundary of a set...

Thms and examples related to separable space..

Subspace of second axiom is second and second axiom implies ist but converse not true.

Examples which are not Second Axiom Space...

Example which is not first axiom space and definition of second axiom space...lecture 7

point included and point excluded topology is first axiom space.. lecture 6

Topology Example of First Axiom Space lecture 5

Find the galois group of splitting field of x^5-1.

Find the galois group of splitting field of x4+1.

A group G is solvable iff G^n=(e)

Topology Unit 3 lecture 4

Topology Unit 3 lecture 3

Abstract Algebra... Fundamental theorem of Galois theory part-1 to part -4.

Abstract Algebra..If K is normal extension of F iff the fixed field under G(K, F) is F itself.

Topology Unit 3 lecture 2

Unit 3 lecture 1

Corollary of normal extension and based example of normal extension.

If K is finite algeb.extension, K is normal exten. of F then K is spliting field of non zero poly.

Converse if K is splitting field of non zero poly. then prove K is normal extension of F.

Normal Extension lemma [K:F]=2

Topology Unit 1 Nbd. system

Topology Unit 1 lecture 3