From 55e29f03ac3b537843f85892a1323e1f46321675 Mon Sep 17 00:00:00 2001
From: Preston Pan <ret2pop@nullring.xyz>
Date: Sat, 11 Apr 2026 13:14:04 -0700
Subject: new articles and snippets

---
 mindmap/mapping.org | 11 +++++++++++
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 create mode 100644 mindmap/mapping.org

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+: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]] $U$.
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