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freakish's user avatar
freakish
  • Member for 7 years, 11 months
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37 votes

Why can't I compress an encrypted file?

28 votes
Accepted

Problem in an inductive proof of Brouwer's fixed point theorem.

23 votes

Does there exist an operation that could turn the set of all negative real numbers into an abelian group?

19 votes
Accepted

Find a group G containing exactly 44 elements x s.t. x generates G

16 votes
Accepted

What does "definition is independent of the choice of" mean?

14 votes
Accepted

Every hausdorff space has a non-hausdorff quotient.

13 votes

Algebraic objects associated with topological spaces.

13 votes
Accepted

Transitive action of a discrete group on a compact space

13 votes
Accepted

Fundamental group of $S^3$ with finitely many points removed?

11 votes
Accepted

Proving/Disproving there are always two uncountable sets whose intersection is uncountable.

11 votes
Accepted

Non-contractible space, but all maps are homotopic

11 votes

Does the exponential of a function converge? What can we do with it?

10 votes
Accepted

Does the existence of a continuous function on a topological space imply that that space is Hausdorff?

10 votes
Accepted

What is the difference between cyclic groups and periodic groups?

10 votes
Accepted

Notation in point set Topology

10 votes
Accepted

Let $G$ be a Lie group. How to prove that $G/H$ is a manifold?

10 votes

prove that a group, G, of infinite order has infinitely many distinct subgroups.

9 votes

Spaces with finite bases are compact

9 votes
Accepted

True or False: Let $G, H$ be finite groups. Then any subgroup of $G × H$ is equal to $A × B$ for some subgroups $A<G$ and $B<H$.(TIFR GS2018)

9 votes
Accepted

If $G$ is a group of order $96$ and $H,K$ are subgroups of order $12,16$, can $H∩K$ be trivial?

9 votes
Accepted

Can infinite $T_0$ space have less open sets than points?

9 votes
Accepted

On isomorphic normal subgroups of a group

9 votes
Accepted

If $\mathbb V$ is a vector space over $\mathbb F$ then does $\mathbb V$ contain $\mathbb F$

9 votes

Why does the definition of topological space require that the empty set be open?

8 votes

If $G_1, G_2, G_3$ are abelian groups and $0 \to G_1 \to G_2 \to G_3 \to 0$ is exact, then $G_2 \simeq G_1 \oplus G_3$

8 votes
Accepted

Is $\mathbb{S}^3 \backslash \mathbb{S}^1$ homotopic equivalent to $\mathbb{S}^1$?

8 votes
Accepted

Bijective map from a set to a subset of reals?

8 votes
Accepted

Examples of groups where any non-identity element has order $n$.

8 votes
Accepted

Showing that $\mathbb Q$ is not a direct product of groups

8 votes
Accepted

Function that grows faster than any function in a given (perhaps infinite) set

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