tomasz

Poland

http://www.math.uni.wroc.pl/~rzepecki/

A PhD student of mathematics at Uniwersytet Wrocławski.

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Applications of model theory to analysis

real-analysis complex-analysis soft-question model-theory applications asked Dec 23, 2012 at 4:30

math.stackexchange.com

26 votes

What are some motivating examples of exotic metrizable spaces

general-topology soft-question metric-spaces examples-counterexamples big-list asked Nov 24, 2012 at 19:45

math.stackexchange.com

22 votes

A nice introduction to forcing

reference-request set-theory book-recommendation forcing asked Sep 8, 2012 at 12:06

math.stackexchange.com

19 votes

When is a quotient by closed equivalence relation Hausdorff

general-topology quotient-spaces separation-axioms asked Nov 16, 2014 at 16:19

math.stackexchange.com

14 votes

Are locally homotopic functions homotopic?

differential-topology manifolds homotopy-theory asked Dec 24, 2012 at 21:59

math.stackexchange.com

13 votes

When do two ultrafilters yield isomorphic ultrapowers?

set-theory model-theory ultrafilters ultrapowers asked Aug 6, 2020 at 20:44

mathoverflow.net

12 votes

Is writing short proofs inline bad form?

mathematics writing writing-style asked Jan 16, 2017 at 20:16

academia.stackexchange.com

11 votes

Getting to BER when trains are not running

public-transport berlin asked May 13 at 9:57

travel.stackexchange.com

11 votes

What are the requirements for separability inheritance

general-topology reference-request examples-counterexamples separable-spaces asked Aug 9, 2012 at 16:46

math.stackexchange.com

10 votes

What are the possible minimal acl-dimensions of strongly minimal models?

examples-counterexamples model-theory asked May 11, 2012 at 17:36

math.stackexchange.com

Top Answers

108

Why is radian so common in maths?

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In case of in-lecture quizzes, is it unreasonable to fail students who are late or absent?

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Are there mathematical concepts that exist in dimension $4$, but not in dimension $3$?

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Difference between closed, bounded and compact sets

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Is there an example of an ordered ring that is not isomorphic to any subring of the real numbers?

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How to learn from proofs?

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The most outrageous (or ridiculous) conjectures in mathematics

mathoverflow.net

Is it necessary for one to understand analysis?

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How to show $i^{-1} = -i$?

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On "familiarity" (or How to avoid "going down the Math Rabbit Hole"?)

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Showing that projections $\mathbb{R}^2 \to \mathbb{R}$ are not closed

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Are the only sets in $\mathbb{R^1}$ which are both open and closed $\mathbb{R^1}$ and $\emptyset$?

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The Euler characteristic of S1: a paradox

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Visualizing quotient groups: $\mathbb{R/Q}$

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Should a student be penalized for using a theorem outside of the curriculum?

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Galois Field GF(4)

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Example when the torsion of a module is not a submodule.

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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 $\mathbb Q$.

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Is there an uncountable proper sub-field of $\mathbf{R}$?

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Does the union of two not disjoint open balls always contain the line connecting the two centers?

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How to construct a Bernstein set and what are their applications?

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Why do we use trig functions in Fourier transforms, and not other periodic functions?

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subset of binary space countable?

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Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?

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How to think of the field $F(\alpha)$

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What flavor of set theory is used in model theory?

mathoverflow.net

What is the motivation for differential forms?

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Infinitely many axioms of ZFC vs. finitely many axioms of NBG

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Topological manifolds (dimension)

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Meaning of quote: "model theory = algebraic geometry - fields"?

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