Top network posts

• 36 Can $ f\colon \mathbb{R}^k \to \mathbb{R}^n$ such that $ \forall y \in \operatorname{im}(f)$, $f^{-1}(y) = \{a_y,b_y\} $ be continuous?
• 16 Requiring students to know all the proofs on an oral exam
• 12 Can the sum of two measurable functions be non-measurable if they are valued in a general normed space instead of $ \mathbb{R} $?
• 9 Are distance functions $ d(a_1,x), ..., d(a_n,x) $ for an arbitrary metric space linearly independent?
• 8 Book/Books leading up to the the axiom of choice?
• 8 Elementary proof of topological invariance of dimension using Brouwer's fixed point and invariance of domain theorems?
• 7 Every metric space can be isometrically embedded in a Banach space, so that it's a linearly independent set
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