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   <news:title>Measure Theory Lesson 30: Radon Measures</news:title>
   <news:publication_date>2026-07-29T02:43:09Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-52-bott-periodicity-the-miracle-behind-k-theory/</loc>
  <lastmod>2026-07-29T02:43:04Z</lastmod>
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   <news:title>Measure Theory Lesson 52: Bott Periodicity — The Miracle Behind K-Theory</news:title>
   <news:publication_date>2026-07-29T02:43:04Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-51-k-theory-for-operator-algebras-measuring-the-shape-of-a-space-without-points/</loc>
  <lastmod>2026-07-29T02:42:58Z</lastmod>
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   <news:title>Measure Theory Lesson 51: K-Theory for Operator Algebras — Measuring the Shape of a Space Without Points</news:title>
   <news:publication_date>2026-07-29T02:42:50Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-50-cyclic-cohomology-connes-replacement-for-de-rham-cohomology/</loc>
  <lastmod>2026-07-29T02:42:45Z</lastmod>
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   <news:title>Measure Theory Lesson 50: Cyclic Cohomology — Connes’ Replacement for de Rham Cohomology</news:title>
   <news:publication_date>2026-07-29T02:42:45Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-49-the-spectral-action-principle-can-physics-be-heard-from-geometry/</loc>
  <lastmod>2026-07-29T02:42:39Z</lastmod>
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   <news:title>Measure Theory Lesson 49: The Spectral Action Principle — Can Physics Be Heard From Geometry?</news:title>
   <news:publication_date>2026-07-29T02:42:39Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-48-connes-distance-formula-recovering-geometry-from-operators/</loc>
  <lastmod>2026-07-29T02:42:34Z</lastmod>
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   <news:title>Measure Theory Lesson 48: Connes’ Distance Formula — Recovering Geometry from Operators</news:title>
   <news:publication_date>2026-07-29T02:42:34Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-47-spectral-triples-connes-replacement-for-geometry/</loc>
  <lastmod>2026-07-29T02:42:21Z</lastmod>
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    <news:name>nerd-ish</news:name>
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   <news:title>Measure Theory Lesson 47: Spectral Triples — Connes’ Replacement for Geometry</news:title>
   <news:publication_date>2026-07-29T02:42:21Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-46-the-noncommutative-torus-connes-first-noncommutative-space/</loc>
  <lastmod>2026-07-29T02:42:16Z</lastmod>
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   <news:title>Measure Theory Lesson 46: The Noncommutative Torus — Connes’ First Noncommutative Space</news:title>
   <news:publication_date>2026-07-29T02:42:16Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-45-crossed-products-turning-dynamics-into-operator-algebras/</loc>
  <lastmod>2026-07-29T02:42:10Z</lastmod>
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    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 45: Crossed Products — Turning Dynamics into Operator Algebras</news:title>
   <news:publication_date>2026-07-29T02:42:10Z</news:publication_date>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-44-the-hyperfinite-factors-and-why-they-matter/</loc>
  <lastmod>2026-07-29T02:42:03Z</lastmod>
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    <news:name>nerd-ish</news:name>
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   <news:title>Measure Theory Lesson 44: The Hyperfinite Factors and Why They Matter</news:title>
   <news:publication_date>2026-07-29T02:42:03Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-43-connes-classification-of-type-iii-factors/</loc>
  <lastmod>2026-07-29T02:41:56Z</lastmod>
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   <news:title>Measure Theory Lesson 43: Connes’ Classification of Type III Factors</news:title>
   <news:publication_date>2026-07-29T02:41:56Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-42-tomita-takesaki-theory-the-hidden-dynamics-inside-every-von-neumann-algebra/</loc>
  <lastmod>2026-07-29T02:41:49Z</lastmod>
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   <news:title>Measure Theory Lesson 42: Tomita–Takesaki Theory — The Hidden Dynamics Inside Every von Neumann Algebra</news:title>
   <news:publication_date>2026-07-29T02:41:49Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-41-type-i-type-ii-and-type-iii-factors-in-detail/</loc>
  <lastmod>2026-07-29T02:41:43Z</lastmod>
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   <news:title>Measure Theory Lesson 41: Type I, Type II, and Type III Factors in Detail</news:title>
   <news:publication_date>2026-07-29T02:41:43Z</news:publication_date>
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  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-40-von-neumann-algebras-and-factors/</loc>
  <lastmod>2026-07-29T02:41:38Z</lastmod>
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   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 40: von Neumann Algebras and Factors</news:title>
   <news:publication_date>2026-07-29T02:41:38Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-39-operator-algebras-the-birth-of-a-new-geometry/</loc>
  <lastmod>2026-07-29T02:41:33Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 39: Operator Algebras — The Birth of a New Geometry</news:title>
   <news:publication_date>2026-07-29T02:41:33Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-38-spectral-theory-of-dynamical-systems/</loc>
  <lastmod>2026-07-29T02:41:26Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 38: Spectral Theory of Dynamical Systems</news:title>
   <news:publication_date>2026-07-29T02:41:26Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-37-the-koopman-operator/</loc>
  <lastmod>2026-07-29T02:41:19Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 37: The Koopman Operator</news:title>
   <news:publication_date>2026-07-29T02:41:19Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-36-ergodic-theory-from-measures-to-dynamics/</loc>
  <lastmod>2026-07-29T02:41:14Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 36: Ergodic Theory — From Measures to Dynamics</news:title>
   <news:publication_date>2026-07-29T02:41:14Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-35-geometric-measure-theory-the-big-picture/</loc>
  <lastmod>2026-07-29T02:41:08Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 35: Geometric Measure Theory — The Big Picture</news:title>
   <news:publication_date>2026-07-29T02:41:08Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-34-fractal-measures-and-self-similarity/</loc>
  <lastmod>2026-07-29T02:41:00Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 34: Fractal Measures and Self-Similarity</news:title>
   <news:publication_date>2026-07-29T02:41:00Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 </url>
 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-31-weak-convergence-of-measures/</loc>
  <lastmod>2026-07-29T02:40:51Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 31: Weak Convergence of Measures</news:title>
   <news:publication_date>2026-07-29T02:40:51Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-32-tightness-and-prokhorovs-theorem/</loc>
  <lastmod>2026-07-29T02:40:41Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Measure Theory Lesson 32: Tightness and Prokhorov’s Theorem</news:title>
   <news:publication_date>2026-07-29T02:40:41Z</news:publication_date>
   <news:genres>Blog</news:genres>
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 <url>
  <loc>https://nerdish.org/2026/07/28/measure-theory-lesson-33-hausdorff-measure/</loc>
  <lastmod>2026-07-29T02:40:33Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>nerd-ish</news:name>
    <news:language>en</news:language>
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   <news:title>Measure Theory Lesson 33: Hausdorff Measure</news:title>
   <news:publication_date>2026-07-29T02:40:33Z</news:publication_date>
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