Question

Can a well-ordered set isomorphic to a proper subset of itself?

score 109 · Answer 1 · 2026-04-09 07:40:01

109

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Can a well-ordered set isomorphic to a proper subset of itself?

Published on 09 Apr 2026 - 7:40

score 40 · Answer 2 · 2026-04-11 20:31:53

40

Views

Is it bad math style to use one letter for indexing two objects?

Published on 11 Apr 2026 - 20:31

score 1k · Answer 3 · 2026-04-16 12:38:10

1k

Views

Determine which of the following are open sets in $\mathbb{R}l$. In each case, prove your assertion

Published on 16 Apr 2026 - 12:38

score 411 · Answer 4 · 2026-04-09 07:31:52

411

Views

The proof that the Mersenne number $M_{19}$ is prime.

Published on 09 Apr 2026 - 7:31

score 2.4k · Answer 5 · 2026-04-16 15:07:14

2.4k

Views

Types of Topologies: show how they compare to each other (finer, strictly finer, coarser...)

Published on 16 Apr 2026 - 15:07

score 248 · Answer 6 · 2026-04-14 05:22:22

248

Views

Bellman-Ford: Shortest path with $k$-edges

Published on 14 Apr 2026 - 5:22

score 545 · Answer 7 · 2026-04-14 16:27:19

545

Views

Prove that the positive integers $n$ and that cannot be written as a sum of $r$ consecutive positive integers are of the form $n=2^l$ for some $l>=0$.

Published on 14 Apr 2026 - 16:27

score 28 · Answer 8 · 2026-04-11 09:25:49

28

Views

Existence and uniquenees to the equation

Published on 11 Apr 2026 - 9:25

score 867 · Answer 9 · 2026-04-16 01:05:00

867

Views

"Show that a single-point set {n} is closed in the digital line topology if and only if n is even."

Published on 16 Apr 2026 - 1:05

score 816 · Answer 10 · 2026-04-16 02:18:50

816

Views

Showing this Galois group is isomorphic to $\Bbb Z_4$ by examining the nature of its automorphisms.

Published on 16 Apr 2026 - 2:18

score 79 · Answer 11 · 2026-04-16 17:45:55

79

Views

How to show that $\sum \limits_{ \{x_1,x_2, \cdots , x_k \} \in S} \prod\limits_{i=1}^{k} x_i \equiv 0\ (\text {mod}\ p).$

Published on 16 Apr 2026 - 17:45

score 557 · Answer 12 · 2026-04-15 10:18:00

557

Views

"Prove that Cl(ℚ) = ℝ in the standard topology on ℝ."

Published on 15 Apr 2026 - 10:18

score 43 · Answer 13 · 2026-04-16 09:17:51

43

Views

Fundemental Properties of Well-Ordering (Checking My Answers)

Published on 16 Apr 2026 - 9:17

score 1k · Answer 14 · 2026-04-13 06:26:33

1k

Views

Prove that $\partial A = \mathrm{Cl}(A) \cap \mathrm{Cl}(X − A)$

Published on 13 Apr 2026 - 6:26

score 282 · Answer 15 · 2026-04-13 10:34:36

282

Views

"Prove that ∂A ∪ Int(A) = Cl(A)"

Published on 13 Apr 2026 - 10:34

List Question

Can a well-ordered set isomorphic to a proper subset of itself?

Is it bad math style to use one letter for indexing two objects?

Determine which of the following are open sets in $\mathbb{R}l$. In each case, prove your assertion

The proof that the Mersenne number $M_{19}$ is prime.

Types of Topologies: show how they compare to each other (finer, strictly finer, coarser...)

Bellman-Ford: Shortest path with $k$-edges

Prove that the positive integers $n$ and that cannot be written as a sum of $r$ consecutive positive integers are of the form $n=2^l$ for some $l>=0$.

Existence and uniquenees to the equation

"Show that a single-point set {n} is closed in the digital line topology if and only if n is even."

Showing this Galois group is isomorphic to $\Bbb Z_4$ by examining the nature of its automorphisms.

How to show that $\sum \limits_{ \{x_1,x_2, \cdots , x_k \} \in S} \prod\limits_{i=1}^{k} x_i \equiv 0\ (\text {mod}\ p).$

"Prove that Cl(ℚ) = ℝ in the standard topology on ℝ."

Fundemental Properties of Well-Ordering (Checking My Answers)

Prove that $\partial A = \mathrm{Cl}(A) \cap \mathrm{Cl}(X − A)$

"Prove that ∂A ∪ Int(A) = Cl(A)"

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