Kapalı eğri üzerine dikdörtgen çizme problemi

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Yozgat Bozok Üniv. Semineri Notları.pdf

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2020-12-02

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Ozan, Yıldıray

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Düzlemde rastgele basit kapalı bir eğri alalım. Köşeleri bu eğrinin üzerinde olan bir dikdörtgenin var mıdır? Konuşmanın ilk bölümünde bu klasik problemi ele alacağız ve böyle bir dikdörtgenin varlığının gerçel projektif düzlemin üç boyutlu uzaya gömülememesine denk olduğunu göstereceğiz. Konuşmanın ikinci bölümünde ise projektif düzlemin üç boyutlu uzaya gömülemeyeceğini kanıtlayacağız. İlk bölümde kullanılacak temel kavram bölüm uzayı, ikinci kısımda ise yönlendirilebilme olacaktır. Ayrıca projektif düzlemin üç boyutlu uzaya gömülememesinin kanıtında kesişim teorisinden yararlanacağız. Sonuç olarak bahsi geçen dikdörtgenin var olduğunu kanıtlamış olacağız.

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https://www.youtube.com/watch?v=Xh0Udo-HngU
https://hdl.handle.net/11511/70177

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Department of Mathematics, Course Material

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Citation Formats

Y. Ozan, “Kapalı eğri üzerine dikdörtgen çizme problemi,” 00, 2020, Accessed: 00, 2021. [Online]. Available: https://www.youtube.com/watch?v=Xh0Udo-HngU.