Exercise 5.10 from Richard Bass Real analysis
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Prove that there exists a Borel measurable function $h: \mathbb R \to \mathbb R$ such that $g= h\circ f$.
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Complete Newbie: Axiom of Foundation Exercise
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Rank-one perturbation proof
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Independence of non-constant real variables
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Real Analysis - Prove a set is countable
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Hartshorne's Exercise II.4.5(c). A third time.
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Complex Analysis Question from Stein
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cardinality of all real sequences
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Functional Analysis: The rank of an operator detemines if it's a compact operator.
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Real Analysis - A sequence that has no convergent subsequence
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On the commutative property of multiplication (domain of integers, possibly reals)
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Proof of linear independence of $e^{at}$
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Exercise 2.13 in Atiyah-Macdonald
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Extending exponentiation to reals
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Exercise $ 3.4.15 $ of David Marker’s “Model Theory”.
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Completeness of sequence of reals with finitely many nonzero terms
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Primary Decomposition of $\mathbb{R^n}$ under T