トポロジーの舞台「位相空間」とは?

"World Map of Mathematics" (KADOKAWA, released June 2023) Amazon: https://amzn.to/3CuC28W Introduction on Koga's website: https://mkmath.net/mapofmath/ 00:00 Introduction 2:23 What is a metric space? 8:00 What is a topological space? 16:53 Topological spaces and continuity 18:49 Conclusion = ... Commentary: Maki Koga ◆Website: http://mkmath.net/ ◆YouTube Lecture Video Collection: http://mkmath.net/youtube/ ◆Twitter:   / 4p_t   ◆Wish List: https://www.amazon.jp/hz/wishlist/ls/... *Support for photography equipment, books, etc. would be greatly appreciated. Please note that this is a personal wish list.

基礎数学I③ 位相の気持ちを理解しよう
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基礎数学I③ 位相の気持ちを理解しよう

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高校生でも雰囲気だけわかる圏論

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Reinventing Entropy | Compression is Intelligence Part 1

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数学者だらけの北海道大学で講演してきました

AI時代到来 100年に一度の転換期!?岸谷蘭丸が時代変化に対応できず絶滅した人類から現代に通ずる授業を繰り広げる
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AI時代到来 100年に一度の転換期!?岸谷蘭丸が時代変化に対応できず絶滅した人類から現代に通ずる授業を繰り広げる

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【ほぼハンバーグで数学「圏論」を語ります】数学者・加藤文元/関係性に注目し必要な物事を浮かび上がらせる/「部署と社長の間に調整役が必要だ」/マスターしたらカルボナーラの作り方を数式で描ける【1on1】

[Learning by Doing] What is a Fundamental Group? ~From Definition to Simple Calculations~ [Profes...
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[Learning by Doing] What is a Fundamental Group? ~From Definition to Simple Calculations~ [Profes...

トポロジーって何が面白いの? 美しすぎる数学の問題
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トポロジーって何が面白いの? 美しすぎる数学の問題

Why the Philippines’ Birth Rate Is Crashing Faster Than Japan | AB Explained
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Why the Philippines’ Birth Rate Is Crashing Faster Than Japan | AB Explained

I Hacked This Temu Router. What I Found Should Be Illegal.
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I Hacked This Temu Router. What I Found Should Be Illegal.

But what is a neural network? | Deep learning chapter 1
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But what is a neural network? | Deep learning chapter 1

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Terence Tao: Nobody Understands Why AI Actually Works

大学入試解説 京大2024年理系第2問[数C 複素数平面]
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大学入試解説 京大2024年理系第2問[数C 複素数平面]

How can we investigate the shape of the universe from within it? Learn about "manifolds," the sub...
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How can we investigate the shape of the universe from within it? Learn about "manifolds," the sub...

This open problem taught me what topology is
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This open problem taught me what topology is

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【高校生でもわかる】いろいろな積分 リーマン,ルベーグ...

What is the value of this crazy iterated square??
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What is the value of this crazy iterated square??

What Research Fields Are There in Math? I Drew Out a Map of Mathematics!
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What Research Fields Are There in Math? I Drew Out a Map of Mathematics!

名大の授業:谷村省吾教授「現代の量子論」第4回 ー ヒルベルト空間,リースの表現定理
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名大の授業:谷村省吾教授「現代の量子論」第4回 ー ヒルベルト空間,リースの表現定理

The Oldest Unsolved Problem in Math
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The Oldest Unsolved Problem in Math