tomasz

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A first-year master's student of mathematics in University of Wrocław.


227 Answers

newest activity votes
16
The Euler characteristic of S1: a paradox
12
If $f: \mathbb Q\to \mathbb Q$ is a homomorphism, prove that $f(x)=0$ for all $x\in\mathbb Q$ or $f(x)=x$ for all $x$ in $\mathbb Q$.
10
How to learn from proofs?
9
How to prove $I + t X$ is invertiable for small enough $ | t | ?$
8
Showing that projections $\mathbb{R}^2 \to \mathbb{R}$ are not closed
8
How to think of the field $F(\alpha)$
8
Are two groups isomorphic if they have the same character table and each $|\chi| \leq 1$?
7
Boundary of $L^1$ space
7
Why do mathematicians use this symbol $\mathbb R$ to represent the real numbers?
7
Proving the odd integer power function is injective over the reals
7
Every point closed $\stackrel{?}{\Rightarrow}$ space is Hausdorff
7
What is an irrreducible character of a finite group?
6
which of the spaces are Locally Compact
6
Weak categoricity in first order logic
6
Why metrizable group requires continuity of inverse?
5
What measure does Lebesgue measure induce on the fat Cantor set?
5
$\langle \Bbb Q,<\rangle$ is an elementary submodel of $ \langle \Bbb R,< \rangle$
5
What's the easiest way to show that a random walk can go arbitrarily far?
5
Similarity of matrices over $\Bbb{Z}$
5
Is a countable set $A$ dense in an uncountable set $B$ by analogy of $\mathbb{Q}$ being dense in $\mathbb{R}$?
5
Do these two constructions lead to the same set?
5
Comparing countable models of ZFC
4
Is every model of PA well-ordered?
4
Question about proof of Hessenberg: $\kappa \cdot \lambda = \lambda$
4
For any set $X$, is there a Hausdorff $Y$, and a disjoint family $\{Y_x:x\in{X}\}$ of dense subsets?
4
Complete first order theory with finite model is categorical
4
Inverse mapping induced by mapping
4
Why is the topology of characters determined by the open sets containing the trivial character?
4
On the definition of the Hausdorff distance
4
Question about the Riesz representation theorem(s)
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