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Results tagged with path-connected
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user 36688
For questions relating to path-connected topological spaces, that is, spaces where any two points can be connected by a path.
3
votes
Accepted
Can we classify the general linear maps such that for a fixed matrix $A \in M_n(\mathbb R)$ ...
One can not say that $\mathcal E$ is always connected.
For $n=3, $(and similarly $n>3$) let $A$ be a matrix with $a_{i1}=1,\quad \forall i \in \{1,2,\ldots,n\} $
Then $\mathcal E$ conta …
- 356
1
vote
1
answer
329
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Two questions on path connected spaces
Is it true to say that a compact hausdorff space $X$ is path connected if and only if for every continuous function $f:X\to \mathbb{C}$, we have $f(X)\subset \mathbb{C}$ is path connected?
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- 356