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Tue, 19 May 2026 12:16:18 GMT

IISER TVM Mathematics Study Notes Comprehensive lecture notes and resources for the Mathematics major program Welcome to our collaborative study resource! This is a growing collection of lecture notes, problem sets, and study materials compiled by mathematics students at the Indian Institute of Scie...

Assignment 1

Mon, 18 May 2026 12:57:12 GMT

Assignment 1 Question 1. Given a nonempty set \Omega, describe the smallest and largest \sigma-algebra of subsets of \Omega.

Assignment 2

Mon, 18 May 2026 12:57:12 GMT

Assignment 2 1. Consider (\Omega, \mathcal A, \nu), where \mathcal A is an algebra over \Omega and \nu is a premeasure.

Assignment 3

Mon, 18 May 2026 12:57:12 GMT

Assignment 3 Question Let (X, \mathcal{M}, \mu) be a measure space.

Assignment 4

Mon, 18 May 2026 12:57:12 GMT

Assignment 4 Question 1 If p \in [1, \infty] and f_n \to f in L^p(\Omega), prove that \|f_n\|_p \to \|f\|_p. Answer Let \|f_n-f\|_p \to 0.

Midsem

Sun, 17 May 2026 15:53:54 GMT

Question 1 Let \mathcal L=\{[a,b): a,b\in\mathbb R,\ a

Endsem

Sun, 17 May 2026 15:49:44 GMT

Part A 1. The topology on a set X in which every subset of X is open is called the discrete topology. 2.

Quizzes

Sun, 17 May 2026 15:49:44 GMT

Quiz 1 - Feb 2, 2026 Quiz 2 - Apr 2, 2026 .

Assignment 01

Mon, 04 May 2026 04:38:03 GMT

Question 1 Let \phi : \mathbb{Q} \to \mathbb{Q} be an automorphism. Prove that \phi = \mathrm{Id}.

Assignment 02

Mon, 04 May 2026 04:38:03 GMT

Question 1 Let L/K be a field extension and let \alpha\in L. Show that \alpha is algebraic over K if and only if K[\alpha]=K(\alpha).