List questions from connectedness

Published on 29 Feb 2020 - 0:33

48

Views

Dispense connectedness and still show that a closed and bounded from above subset has a maximal element.

Published on 30 Mar 2026 - 2:06

96

Views

Proving that the codomain of a surjective continuous fn, is connected if the domain is connected.

Published on 03 Mar 2020 - 0:22

296

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Showing that the image of a connected space is connected if the function is continuous.

Published on 03 Mar 2020 - 4:41

58

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Proving a topological space is not path connected

Published on 27 Mar 2026 - 0:09

92

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$A=\{(x,\sin(1/x):x>0\}$ and $B=\{(0,0),(-1,0)\}$ then $A\cup B$ is connected?

Published on 27 Mar 2026 - 0:06

163

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Is $\Bbb Q\times(\Bbb R\setminus\Bbb Q)$ connected?

Published on 05 Mar 2020 - 11:21

246

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Union of Connected Sets (Proof)

Published on 08 Mar 2020 - 14:03

96

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What does $\pi_1(X) = 1$ mean?

Published on 27 Mar 2026 - 23:39

107

Views

Curve similar to Topologist sine curve

Published on 27 Mar 2026 - 0:06

82

Views

Locally connectedness: definition

Published on 22 Mar 2026 - 1:32

95

Views

True or False? If $A \subset B \subset C \subset M$, where $A$ and $C$ are connected, then $B$ is connected.

Published on 17 Mar 2020 - 11:44

398

Views

Show the equivalence relation and show that the equivalence classes of this relation is closed and connected

Published on 20 Mar 2020 - 9:49

353

Views

Proving quotient space is connected

Published on 27 Mar 2026 - 5:55

75

Views

A topology question arised from my sorting algorithm

Published on 26 Mar 2026 - 23:59

List Question

Locally constant map of topological spaces

Dispense connectedness and still show that a closed and bounded from above subset has a maximal element.

Proving that the codomain of a surjective continuous fn, is connected if the domain is connected.

Showing that the image of a connected space is connected if the function is continuous.

Proving a topological space is not path connected

$A=\{(x,\sin(1/x):x>0\}$ and $B=\{(0,0),(-1,0)\}$ then $A\cup B$ is connected?

Is $\Bbb Q\times(\Bbb R\setminus\Bbb Q)$ connected?

Union of Connected Sets (Proof)

What does $\pi_1(X) = 1$ mean?

Curve similar to Topologist sine curve

Locally connectedness: definition

True or False? If $A \subset B \subset C \subset M$, where $A$ and $C$ are connected, then $B$ is connected.

Show the equivalence relation and show that the equivalence classes of this relation is closed and connected

Proving quotient space is connected

A topology question arised from my sorting algorithm

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