Question

The complete ordered field is unique up to isomorphism

score 1.3k · Answer 1 · 2026-04-17 03:05:27

1.3k

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The complete ordered field is unique up to isomorphism

Published on 17 Apr 2026 - 3:05

score 770 · Answer 2 · 2026-04-13 19:57:49

770

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If A is a finite integral domain and is a cyclic group with addition alone, then order of A is prime

Published on 13 Apr 2026 - 19:57

score 51 · Answer 3 · 2026-04-12 15:21:12

51

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Lemma 1 of Meyer 1969 ''Sequential properties of ordered topological spaces''

Published on 12 Apr 2026 - 15:21

score 150 · Answer 4 · 2026-04-15 21:07:55

150

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Find the limit $\lim_{n\to\infty}\frac{x_n + x_n^2 + \cdots + x_n^k - k}{x_n - 1}$ given $x_n \ne 1$ and $\lim x_n = 1$

Published on 15 Apr 2026 - 21:07

score 59 · Answer 5 · 2026-04-15 19:15:28

59

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Correct Way of Reaching Inductive Goal

Published on 15 Apr 2026 - 19:15

score 82 · Answer 6 · 2026-04-19 09:05:56

82

Views

Is it possible that $a^{2} - 1 \equiv 0 \pmod{m\cdot a}$ same as $a^{2} - 1 \equiv 0 \pmod{m}$?

Published on 19 Apr 2026 - 9:05

score 442 · Answer 7 · 2026-04-16 06:40:29

442

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Show that a Banach space $E$ is reflexive $\iff$ for all closed subspace $F$ of $E$ we have $F^{\perp \perp} = J(F)$

Published on 16 Apr 2026 - 6:40

score 99 · Answer 8 · 2026-04-14 22:48:30

99

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$ \sum_{m=1}^{\infty} \frac{1}{2^m} \sum_{l=km}^{\infty} \frac{1}{2^l} = \sum_{m=1}^{\infty} \frac{1}{2^m} \sum_{n=m}^{\infty} \frac{1}{2^{kn}} $?

Published on 14 Apr 2026 - 22:48

score 201 · Answer 9 · 2026-04-17 05:25:32

201

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Prove that if $f$ is continuous at $x_0\in [a,b]$ and $f(x_0)\neq 0,$ then $\sup\limits_{P}L(|f|,P)>0$

Published on 17 Apr 2026 - 5:25

score 94 · Answer 10 · 2026-04-14 16:46:08

94

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What is the correct way to prove that for all $m \in Z$, if $m$ is even then then $mn$ is even?

Published on 14 Apr 2026 - 16:46

score 344 · Answer 11 · 2026-04-12 13:56:22

344

Views

The isomorphism between two complete ordered fields is unique

Published on 12 Apr 2026 - 13:56

score 92 · Answer 12 · 2026-04-14 23:32:26

92

Views

Is this correct approach to proving $xy=0$?

Published on 14 Apr 2026 - 23:32

score 213 · Answer 13 · 2026-04-10 21:33:52

213

Views

Injective function on unit disc

Published on 10 Apr 2026 - 21:33

score 25 · Answer 14 · 2026-03-27 16:20:20

25

Views

Showing a relation is transitive

Published on 27 Mar 2026 - 16:20

score 1.1k · Answer 15 · 2026-04-16 07:49:28

1.1k

Views

Confusion on Additive Property of Supremum and Infimum - Theorem I.33 Apostol Calculus I

Published on 16 Apr 2026 - 7:49

List Question

The complete ordered field is unique up to isomorphism

If A is a finite integral domain and is a cyclic group with addition alone, then order of A is prime

Lemma 1 of Meyer 1969 ''Sequential properties of ordered topological spaces''

Find the limit $\lim_{n\to\infty}\frac{x_n + x_n^2 + \cdots + x_n^k - k}{x_n - 1}$ given $x_n \ne 1$ and $\lim x_n = 1$

Correct Way of Reaching Inductive Goal

Is it possible that $a^{2} - 1 \equiv 0 \pmod{m\cdot a}$ same as $a^{2} - 1 \equiv 0 \pmod{m}$?

Show that a Banach space $E$ is reflexive $\iff$ for all closed subspace $F$ of $E$ we have $F^{\perp \perp} = J(F)$

$ \sum_{m=1}^{\infty} \frac{1}{2^m} \sum_{l=km}^{\infty} \frac{1}{2^l} = \sum_{m=1}^{\infty} \frac{1}{2^m} \sum_{n=m}^{\infty} \frac{1}{2^{kn}} $?

Prove that if $f$ is continuous at $x_0\in [a,b]$ and $f(x_0)\neq 0,$ then $\sup\limits_{P}L(|f|,P)>0$

What is the correct way to prove that for all $m \in Z$, if $m$ is even then then $mn$ is even?

The isomorphism between two complete ordered fields is unique

Is this correct approach to proving $xy=0$?

Injective function on unit disc

Showing a relation is transitive

Confusion on Additive Property of Supremum and Infimum - Theorem I.33 Apostol Calculus I

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