List questions from ordered-fields

90

Views

Show that if a subset of an ordered field has a least upper bound, then any two least upper bounds for it have to coincide

Published on 24 Oct 2014 - 5:58

53

Views

How to prove that this enough to determine the structure of $\mathbb R$?

Published on 27 Oct 2014 - 14:20

273

Views

Absolute value proof

Published on 03 Nov 2014 - 22:40

2.2k

Views

Ordered field proof

Published on 03 Nov 2014 - 23:18

46

Views

Estimations in a ordered field?

Published on 14 Nov 2014 - 22:23

113

Views

Prove $f(a + b) = f(a) + f(b)$ in an ordered field

Published on 17 Nov 2014 - 0:43

40

Views

Showing a function is a bijection without a specific function

Published on 17 Nov 2014 - 1:27

9.4k

Views

Ordering of the complex numbers

Published on 21 Nov 2014 - 11:02

111

Views

Axioms for ordered fields

Published on 23 Nov 2014 - 17:40

2k

Views

Question about supremum $\implies$ infimum

Published on 05 Dec 2014 - 15:10

93

Views

Ordered Field: $|x|\le y$ iff $-y\le x\le y$

Published on 20 Dec 2014 - 20:22

82

Views

Metrics (Distances) on $\mathbb{F}$ Theorem Proof

Published on 22 Dec 2014 - 5:55

146

Views

Galois Group of Ordered Field containing Square Roots

Published on 08 Oct 2019 - 15:48

32

Views

"Simple" ordered fields proof: show that $0<y^{-1}<1$

Published on 09 Oct 2019 - 20:50

176

Views

Equivalence relation on ordered field

Published on 09 Oct 2019 - 23:44

List Question

Show that if a subset of an ordered field has a least upper bound, then any two least upper bounds for it have to coincide

How to prove that this enough to determine the structure of $\mathbb R$?

Absolute value proof

Ordered field proof

Estimations in a ordered field?

Prove $f(a + b) = f(a) + f(b)$ in an ordered field

Showing a function is a bijection without a specific function

Ordering of the complex numbers

Axioms for ordered fields

Question about supremum $\implies$ infimum

Ordered Field: $|x|\le y$ iff $-y\le x\le y$

Metrics (Distances) on $\mathbb{F}$ Theorem Proof

Galois Group of Ordered Field containing Square Roots

"Simple" ordered fields proof: show that $0<y^{-1}<1$

Equivalence relation on ordered field

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