edited by
153 views

Please log in or register to answer this question.

Answer:
Position:
Show:

Related questions

0 0 votes
0 0 answers
155
155 views
Shubham Sharma 2 asked Jun 16, 2025
155 views
Let $(X, d)$ be a nonempty complete metric space, and let $T: X \rightarrow X$ be a continuous map such that $T^{2}$ is a contraction, i.e., there exists $a<1$ such that ...
0 0 votes
0 0 answers
187
187 views
Shubham Sharma 2 asked Jun 16, 2025
187 views
Let\[S^{2}=\left\{(x, y, z) \in \mathbb{R}^{3} \mid x^{2}+y^{2}+z^{2}=1\right\},\]and let $d: S^{2} \times S^{2} \rightarrow \mathbb{R}$ be the restriction of the Euclide...
0 0 votes
0 0 answers
136
136 views
Shubham Sharma 2 asked Jun 16, 2025
136 views
There are uncountably many continuous functions $\mathbb{Q} \rightarrow\{0,1\}$.
1 1 vote
0 0 answers
213
213 views
Shubham Sharma 2 asked Jun 16, 2025
213 views
If $f, g:[0,1] \rightarrow \mathbb{R}$ are continuous and $f \cdot g=0$, then one of $f$ or $g$ is zero on an open subset of $[0,1]$.