Mathematics
pyridoxal_trigeminus
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3 Continuous Bijection which is Not a Homeomorphism Oct 9
3 Prove that for any $x \in \mathbb{R}$, $x = \sup \{q \in \mathbb{Q} : q < x\}$ Oct 10
2 Find a bijection $g:\mathbb{R} \longrightarrow \mathbb{R}\setminus \{0\}$ May 2
2 Find $\delta > 0$ such that $|x-2| < \delta$ implies $|x^2+2x-18| < \frac{1}{4}$ 3 hours ago
1 Suppose $S \subset \mathbb{R}^n$ is a finite set and is path connected. How many points does $S$ contain? 2 hours ago
1 Is $x - y \leq 0$ an equivalence relation on $\mathbb{Z}$? Oct 13
1 Is this piecewise function a continuous bijection but not homeomorphic? Oct 9
1 Use $\varepsilon$-$N$ definition of convergence to show $\lim (1+\frac{1}{n})^2 = 1$ Oct 10
0 Prove that a boundary point of a set $S \subset \mathbb{R}$ is either a limit point of $S$ or an isolated point of $S$. Oct 11
0 Finding the inverse of a continuous bijection from $(0,1] \longrightarrow S^1$. Oct 11
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