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Antimony
  • Member for 4 years, 11 months
  • Last seen more than a month ago
22 votes
2 answers
2k views

What is a virtual point of a metric space?

9 votes
2 answers
681 views

Which space do we obtain if we take a Möbius strip and identify its boundary circle to a point?

7 votes
3 answers
1k views

FInding the number of eigenvalues of the given $\mathbb{C}$ linear transformation.

7 votes
2 answers
1k views

Prove that all ideals in $\mathbb{Z}[x]$ are generated by two elements.

7 votes
0 answers
127 views

Prove that $\sum{\frac{1}{n_k}}$ is convergent .

6 votes
4 answers
171 views

Finding the structure of a group without using sylows theorem.

5 votes
3 answers
512 views

Pythagoras theorem is a^2 + b^2 = c^2 and a circle has an equation x^2 + y^2 = a^2 .Is there a relation between a right angle triangle and a circle?

5 votes
1 answer
157 views

Find the cosets of $D_{2n}$ in $S_n$

5 votes
2 answers
273 views

Prove that $(K,\delta)$ is a compact metric space.

5 votes
1 answer
370 views

Show that the minimal polynomial of $T:\mathbb{K}^n \mapsto \mathbb{K}^n$ remains the same over field extension

5 votes
1 answer
82 views

Doubt in the definition of manifolds?

5 votes
1 answer
189 views

Prove that $(\mathbb{R}^{n+1} \backslash \{0\}) / \sim_1$ and $\mathbb{S}^n/ \sim_2$ are homeomorphic.

5 votes
1 answer
110 views

What does $f'(c) >0 $ mean at a point $x=c$?

4 votes
1 answer
181 views

Cauchy sequences , continuity and completeness

4 votes
1 answer
81 views

If $(X,d)$ is a compact metric space then is $A$ a closed subset of $K$?

4 votes
0 answers
48 views

Begin with the unit ball $\mathbb{B}^n$ and identify antipodal points of its boundary sphere.

4 votes
1 answer
498 views

How to prove that the sequence is regular?

4 votes
1 answer
166 views

Let $X$ be an ordered set. If $Y$ is a proper subset of $X$ that is convex in $X$, then is $Y$ an interval or ray in $X$? [closed]

4 votes
1 answer
185 views

Help with computation in Gröbner Basis.

3 votes
0 answers
49 views

Find the matrix of the rotation matrix $U$

3 votes
0 answers
53 views

What are the prerequisites to study Cohen-Macaulay?

3 votes
1 answer
430 views

Show that if $A$ is a basis for a topology on $X$,then what will be the topology generated by $A$

3 votes
1 answer
282 views

Counter example that a convex set is not necessarily an interval or ray .

3 votes
1 answer
233 views

Given a set $G$, how do we show that it is a Gröbner basis of an ideal $I$?

3 votes
1 answer
142 views

Let $f$ be a right continuous function then show that it is continuous from $\mathbb{R}_l \to \mathbb{R}$

3 votes
1 answer
87 views

Doubt in the geometric interpretation of Newton's method of calculating the roots of the equation $f(x)$.

3 votes
3 answers
632 views

If $E$ is a projection with finite-dimensional range $W$ and $||E(a)|| \leq ||a||$ then $E$ is orthogonal

3 votes
1 answer
55 views

Is the following function uniformly continuous on the closed and bounded interval?

3 votes
1 answer
93 views

Showing that the corresponding two spaces are homeomorphic.

3 votes
2 answers
94 views

Let $H:\mathbb{R} \to \mathbb{R}$ be the function $H(x)=\frac{e^x+e^{-x}}{2} $ for $ x \in \mathbb{R}$

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