Question

Properties of this topology on $\mathbb N$.

score 62 · Answer 1 · 2019-02-01 15:07:02

62

Views

Properties of this topology on $\mathbb N$.

Published on 01 Feb 2019 - 15:07

score 71 · Answer 2 · 2019-02-01 16:37:39

71

Views

Properties of this topology on $\Bbb X$.

Published on 01 Feb 2019 - 16:37

score 1.6k · Answer 3 · 2019-02-03 17:58:29

1.6k

Views

Is a connected set always an uncountably infinite set?

Published on 03 Feb 2019 - 17:58

score 205 · Answer 4 · 2019-02-04 09:10:31

205

Views

A simple question about Theorem 2.47 on p.42 in "Principles of Mathematical Analysis 3rd Edition" by Walter Rudin.

Published on 04 Feb 2019 - 9:10

score 36 · Answer 5 · 2019-02-04 11:09:26

36

Views

Problem : connectedness of sets

Published on 04 Feb 2019 - 11:09

score 30 · Answer 6 · 2019-02-04 17:45:14

Connectedness $A= \left\{ (x,mx) \mid m \in \mathbb{N}, x \in [ 0 , 1 ] \right\} \cup \left\{ (x,-mx) \mid m \in \mathbb{N}, x \in (0 , 1) \right\}$

score 722 · Answer 7 · 2026-03-25 12:29:25

722

Views

Prove that if a graph $G$ has a Hamilton path, then for every $S\subseteq V(G)$, the number of components of $G-S$ is at most $|S|+1$.

Published on 25 Mar 2026 - 12:29

score 97 · Answer 8 · 2019-02-06 13:11:47

97

Views

Showing that $g(T)\subseteq f'(I) \subseteq\overline{g(T)}$ where $g(x,y) = \frac{f(x) - f(y)}{x-y}$

Published on 06 Feb 2019 - 13:11

score 536 · Answer 9 · 2026-03-25 11:20:11

536

Views

Extending $S^1$ to an embedding of $D^2$ in $\mathbb{R}^3$

Published on 25 Mar 2026 - 11:20

score 49 · Answer 10 · 2019-02-06 23:07:54

49

Views

Is the subset of $\mathbb C^n$ that is conjugate invarivant and permutation invariant simply connected in the quotient space?

Published on 06 Feb 2019 - 23:07

score 741 · Answer 11 · 2026-03-26 07:51:43

741

Views

de Rham cohomology and homotopy groups of differential manifold

Published on 26 Mar 2026 - 7:51

score 62 · Answer 12 · 2019-02-10 14:37:34

62

Views

Compact or open $\{0\}\cup\{\frac1n + \frac1m | m,n \in N\})$ in R?

Published on 10 Feb 2019 - 14:37

score 145 · Answer 13 · 2019-02-11 13:04:57

145

Views

Proving the Daisy Lemma

Published on 11 Feb 2019 - 13:04

score 100 · Answer 14 · 2026-03-25 02:58:57

100

Views

What does this equation imply?

Published on 25 Mar 2026 - 2:58

score 211 · Answer 15 · 2026-03-26 21:26:00

211

Views

The image of a continuous mapping on a connected metric space is connected: ($\epsilon - \delta$) proof

Published on 26 Mar 2026 - 21:26

List Question

Properties of this topology on $\mathbb N$.

Properties of this topology on $\Bbb X$.

Is a connected set always an uncountably infinite set?

A simple question about Theorem 2.47 on p.42 in "Principles of Mathematical Analysis 3rd Edition" by Walter Rudin.

Problem : connectedness of sets

Connectedness $A= \left\{ (x,mx) \mid m \in \mathbb{N}, x \in [ 0 , 1 ] \right\} \cup \left\{ (x,-mx) \mid m \in \mathbb{N}, x \in (0 , 1) \right\}$

Prove that if a graph $G$ has a Hamilton path, then for every $S\subseteq V(G)$, the number of components of $G-S$ is at most $|S|+1$.

Showing that $g(T)\subseteq f'(I) \subseteq\overline{g(T)}$ where $g(x,y) = \frac{f(x) - f(y)}{x-y}$

Extending $S^1$ to an embedding of $D^2$ in $\mathbb{R}^3$

Is the subset of $\mathbb C^n$ that is conjugate invarivant and permutation invariant simply connected in the quotient space?

de Rham cohomology and homotopy groups of differential manifold

Compact or open $\{0\}\cup\{\frac1n + \frac1m | m,n \in N\})$ in R?

Proving the Daisy Lemma

What does this equation imply?

The image of a continuous mapping on a connected metric space is connected: ($\epsilon - \delta$) proof

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