User Chilote - Mathematics Stack Exchange

26 votes

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Normed vector spaces over finite fields

answered Dec 15, 2017 at 18:12

15 votes

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Do we adopt the term "normed space" which is over any ordered-field?

answered Dec 15, 2017 at 15:47

14 votes

Non-Archimedean Fields

answered Dec 18, 2017 at 4:55

8 votes

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condition for equivalence of norms on vector spaces

answered Apr 1, 2016 at 16:07

7 votes

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sequence uniformly convergent on the boundary of a bounded set in $\mathbb{C}$

answered Mar 14, 2014 at 22:21

7 votes

Why Do We Only Take Norms Over Real/Complex Numbers?

answered Oct 17, 2018 at 2:16

5 votes

Banach-Alaoglu Theorem over spherically complete non-Archimedean fields

answered Jun 12, 2020 at 15:42

5 votes

Dedekind and Cauchy completeness

answered Jun 22, 2020 at 17:49

5 votes

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Equivalent presentation for the fundamental group of the projective plane

answered Apr 21, 2015 at 17:31

5 votes

Extending 2-adic valuation to real numbers

answered Dec 18, 2017 at 2:08

4 votes

Intuition behind "Non-Archimedean" -- two senses of "non-archimedean".

answered Dec 18, 2017 at 5:36

4 votes

How to improve mathematical thinking?

answered Jan 31, 2014 at 19:55

4 votes

What do linearly ordered abelian groups look like?

answered Feb 13, 2018 at 3:04

3 votes

Seeking references on ordered fields

answered Dec 16, 2018 at 22:21

3 votes

Example of a complete, non-archimedean ordered field

answered Aug 16, 2022 at 13:15

3 votes

Knot theory: showing that the ambient isotopy relation is symmetric

answered Mar 13, 2015 at 19:22

3 votes

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Show that two metrics known not to be strongly equivalent actually induce the same topology.

answered May 16, 2016 at 5:31

2 votes

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Find $f:C\to\mathbb{R}^2$ continuous and bijective but not open, $C\subset\mathbb{R}^2$ is closed

answered Mar 27, 2015 at 19:55

2 votes

Is the usual norm on $\mathbb{R}$ the "limit" of p adic norms?

answered Feb 21, 2017 at 0:48

2 votes

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$0\preceq a,b\implies 0\preceq ab$ for integers

answered Jan 1, 2017 at 19:38

2 votes

Why are metrics defined as functions in $\mathbb{R}^{+}$?

answered Dec 23, 2017 at 19:44

2 votes

Hyperplane $V=[V]\neq X$ or $[V]=X$

answered Jan 14, 2017 at 20:09

2 votes

How to Improve Mathematical Thinking and General Problem Solving Skills?

answered Mar 18, 2023 at 20:10

2 votes

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Definition of absolute value

answered Dec 19, 2017 at 14:37

2 votes

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p-adic topology

answered Feb 27, 2017 at 23:41

2 votes

Find a Cauchy sequence that doesn't $p$-converge to any rational number.

answered Jan 17, 2019 at 15:33

2 votes

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Does infinitesimals exists in $p$-adics?

answered Jun 27, 2020 at 16:35

2 votes

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Proof by hand that $\mathbf{Q}_p$ is complete

answered May 3, 2020 at 16:46

1 vote

Does the above non-Archimedean but ordered field satisfy Nested interval property?

answered Sep 25, 2018 at 17:14

1 vote

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Non-archimedean uniform space

answered Aug 25, 2019 at 17:03

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62 Answers

Normed vector spaces over finite fields

Do we adopt the term "normed space" which is over any ordered-field?

Non-Archimedean Fields

condition for equivalence of norms on vector spaces

sequence uniformly convergent on the boundary of a bounded set in $\mathbb{C}$

Why Do We Only Take Norms Over Real/Complex Numbers?

Banach-Alaoglu Theorem over spherically complete non-Archimedean fields

Dedekind and Cauchy completeness

Equivalent presentation for the fundamental group of the projective plane

Extending 2-adic valuation to real numbers

Intuition behind "Non-Archimedean" -- two senses of "non-archimedean".

How to improve mathematical thinking?

What do linearly ordered abelian groups look like?

Seeking references on ordered fields

Example of a complete, non-archimedean ordered field

Knot theory: showing that the ambient isotopy relation is symmetric

Show that two metrics known not to be strongly equivalent actually induce the same topology.

Find $f:C\to\mathbb{R}^2$ continuous and bijective but not open, $C\subset\mathbb{R}^2$ is closed

Is the usual norm on $\mathbb{R}$ the "limit" of p adic norms?

$0\preceq a,b\implies 0\preceq ab$ for integers

Why are metrics defined as functions in $\mathbb{R}^{+}$?

Hyperplane $V=[V]\neq X$ or $[V]=X$

How to Improve Mathematical Thinking and General Problem Solving Skills?

Definition of absolute value

p-adic topology

Find a Cauchy sequence that doesn't $p$-converge to any rational number.

Does infinitesimals exists in $p$-adics?

Proof by hand that $\mathbf{Q}_p$ is complete

Does the above non-Archimedean but ordered field satisfy Nested interval property?

Non-archimedean uniform space