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diff --git a/mindmap/mapping.org b/mindmap/mapping.org new file mode 100644 index 0000000..dbc1995 --- /dev/null +++ b/mindmap/mapping.org @@ -0,0 +1,11 @@ +:PROPERTIES: +:ID: fdcecb13-35e1-439c-ba13-5c63bd7342c3 +:ROAM_ALIASES: continuous mapping "continuous function" +:END: +#+title: Mapping +#+author: Preston Pan +#+description: mapping the thought landscape out. +#+options: broken-links:t +* Introduction +A /mapping/, or /continuous function/ in a [[id:b0784577-9691-4c8e-a8e4-974a7c9c4949][topological space]] is defined as a [[id:b1f9aa55-5f1e-4865-8118-43e5e5dc7752][function]] $f$ such that the preimage of an [[id:b0784577-9691-4c8e-a8e4-974a7c9c4949][open set]] is open, or $f^{-1}(U)$ +is open for all [[id:b0784577-9691-4c8e-a8e4-974a7c9c4949][open sets]] $U$. |