Question

Can an infinite product of recursive functions be non-recursive?

score 99 · Answer 1 · 2026-04-13 08:14:10

99

Views

Can an infinite product of recursive functions be non-recursive?

Published on 13 Apr 2026 - 8:14

score 74 · Answer 2 · 2026-04-16 14:53:40

74

Views

$\lim\limits_{x \to a} \frac{f(x)}{g(x)}=1$ then does the limit $\lim\limits_{x \to a} (f(x)- g(x))=0$?

Published on 16 Apr 2026 - 14:53

score 2k · Answer 3 · 2026-04-16 10:31:07

2k

Views

Simple graph with $G$ with $n$ vertices, satisfying $d(u)+d(v)\ge n-2$ for every two non-adjacent vertices $u,v$, wtih no Hamiltonian path

Published on 16 Apr 2026 - 10:31

score 517 · Answer 4 · 2026-04-16 03:35:17

517

Views

Prove or disprove : In a topological space $(X,\tau)$ if every compact subsets $K\subset X$ are closed then $(X, \tau) $ is hausdorff.

Published on 16 Apr 2026 - 3:35

score 104 · Answer 5 · 2026-04-15 06:36:37

104

Views

Is there a function whose graph is connected but contains no arcs?

Published on 15 Apr 2026 - 6:36

score 45 · Answer 6 · 2026-04-11 19:51:45

45

Views

Counterexample of $\overline{\bigcup_i A_i }\subset \bigcup_i\overline{ A_i }$ with co-finite topology

Published on 11 Apr 2026 - 19:51

score 83 · Answer 7 · 2026-04-14 11:01:56

83

Views

Characterizing continuous maps in $\Bbb N$ with co-finite topology

Published on 14 Apr 2026 - 11:01

score 183 · Answer 8 · 2026-04-09 20:11:27

183

Views

Self-student variational calculus - the maxima and minima simplest problem

Published on 09 Apr 2026 - 20:11

score 94 · Answer 9 · 2026-04-17 01:30:11

94

Views

Sequences $\{\max(a_n,b_n)\}_{n\in \mathbb{N}}$ and $\{\min(a_n,b_n)\}_{n\in \mathbb{N}}$

Published on 17 Apr 2026 - 1:30

score 31 · Answer 10 · 2026-04-13 21:22:54

31

Views

$\text{GL}(1,\mathbb{R})$ is homeomorphic to $\text{O}(1)\times \mathbb{R}$

Published on 13 Apr 2026 - 21:22

score 43 · Answer 11 · 2026-04-08 16:16:19

43

Views

Counterexample of path-connectedness "swapped" definition

Published on 08 Apr 2026 - 16:16

score 35 · Answer 12 · 2026-04-09 11:12:07

35

Views

Path-connectedness swapped definition

Published on 09 Apr 2026 - 11:12

score 81 · Answer 13 · 2026-04-14 08:29:29

81

Views

Why this proof doesn't work for non convex polyhedra?

Published on 14 Apr 2026 - 8:29

score 62 · Answer 14 · 2026-04-14 15:52:11

62

Views

Metric on $[0,1)$ that is not complete nor totally bounded

Published on 14 Apr 2026 - 15:52

score 82 · Answer 15 · 2026-04-11 19:53:14

82

Views

Curve with increasing curvature is a circle

Published on 11 Apr 2026 - 19:53

List Question

Can an infinite product of recursive functions be non-recursive?

$\lim\limits_{x \to a} \frac{f(x)}{g(x)}=1$ then does the limit $\lim\limits_{x \to a} (f(x)- g(x))=0$?

Simple graph with $G$ with $n$ vertices, satisfying $d(u)+d(v)\ge n-2$ for every two non-adjacent vertices $u,v$, wtih no Hamiltonian path

Prove or disprove : In a topological space $(X,\tau)$ if every compact subsets $K\subset X$ are closed then $(X, \tau) $ is hausdorff.

Is there a function whose graph is connected but contains no arcs?

Counterexample of $\overline{\bigcup_i A_i }\subset \bigcup_i\overline{ A_i }$ with co-finite topology

Characterizing continuous maps in $\Bbb N$ with co-finite topology

Self-student variational calculus - the maxima and minima simplest problem

Sequences $\{\max(a_n,b_n)\}_{n\in \mathbb{N}}$ and $\{\min(a_n,b_n)\}_{n\in \mathbb{N}}$

$\text{GL}(1,\mathbb{R})$ is homeomorphic to $\text{O}(1)\times \mathbb{R}$

Counterexample of path-connectedness "swapped" definition

Path-connectedness swapped definition

Why this proof doesn't work for non convex polyhedra?

Metric on $[0,1)$ that is not complete nor totally bounded

Curve with increasing curvature is a circle

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