Register

TIFR2021-Maths-B: 4

• retagged by
432 views

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
Answer:
← Previous · TIFR2021-Maths-B: 5Next → · TIFR2021-Maths-B: 3
← Previous in category · TIFR2021-Maths-B: 14Next in category → · TIFR2021-Maths-B: 3
Position:
Show:

Related questions

1 1 vote
0 0 answers
351
351 views
admin asked Sep 9, 2022
351 views
TIFR Mathematics 2022 | Part A | Question: 1
Consider the following properties of a metric space $(X, d)$ :$(X, d)$ is complete as a metric space.For any sequence $\left\{Z_{n}\right\}_{n \in \mathbb{N}}$ of closed ...
0 0 votes
0 0 answers
75
75 views
Shubham Sharma 2 asked Nov 24, 2025
75 views
CMI 2025 | Mathematics | Part A | Question: 10
Let $M_{n}(\mathbb{R})$ be the space of $n \times n$ real matrices. View $M_{n}(\mathbb{R})$ as a metric space with\[d\left(\left[a_{i, j}\right],\left[b_{i, j}\right]\ri...
0 0 votes
0 0 answers
360
360 views
soujanyareddy13 asked Sep 27, 2021
360 views
TIFR2021-Maths-B: 2
Let $(X,d)$ be an infinite compact metric space. Then there exists no function $f:X\rightarrow X$, continuous or otherwise, with the property that $d(f(x),f(y))>d(x,y)$ f...
0 0 votes
0 0 answers
283
283 views
soujanyareddy13 asked Sep 27, 2021
283 views
TIFR2021-Maths-B: 5
If $X$ is a compact metric space, then every isometry $f:X\rightarrow X$ is surjective.