Continuous map
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Revision 1182
8/11/2026, 1:12:54 PM · Ancient Tree
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A map between [[Topological space|topological spaces]] is continuous if...1
A continuous map between [[Topological space|topological spaces]] $A$ and $B$ is a [[Map|map]]2
$$f:X\rightarrow Y$$3
such that for every [[Open set|open set]] $U\subseteq B$, the [[preimage|preimage]] $f^{-1}(U)$ is open in $A$.Revision 648
7/27/2026, 9:46:31 AM · Ancient Tree
Concept created
A map between [[Topological space|topological spaces]] is continuous if...