### Questions (316)

 21 Real Analysis. Suggestions. 9 Are spaces shaped like the digits 0, 8 and 9 homeomorphic topological spaces? 7 Topology “generated by” normal subgroups (Topological groups). 6 Solution to one-dimensional Wave Equation with Method of Characteristics 5 Dimension of pro-$p$ group

### Reputation (1,097)

 +5 A continuous function of a integrable function is integrable +5 Are spaces shaped like the digits 0, 8 and 9 homeomorphic topological spaces? +5 Harmonic functions and Maximum Modulus Principle. (Real harmonic function implies holomorphic function?) +5 Dimension of pro-$p$ group

 4 Let $f:\Bbb{R}^n\to \Bbb{R}$ be differentiable. Prove that $f$ is linear and show that $f(0)=0$ 4 Completing the Cayley table given certain information 3 Showing (a +b)^2= a^2 +b^2 of commutative ring. 3 What is the equality of two functions (or maps)? 3 Prove that the function $f :\mathbb{Z}\to\mathbb{Z}$ given by $f(x) = 15x − 11$ does not map onto its codomain.

### Tags (121)

 18 real-analysis × 198 6 analysis × 4 11 functions × 5 5 group-theory × 33 9 abstract-algebra × 82 5 linear-algebra × 14 7 elementary-set-theory × 3 5 multivariable-calculus × 9 6 calculus × 5 4 finite-groups × 5

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