Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2002 / Cilt: 3 - Sayı: 3

Unitals in topological translation planes

Topolojik öteleme düzlemlerinde birimlikler

Pages
433–436
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Here, it is shown that, in the corresponding topological translation spaces, every Euclidean sphere is a unital with the additional property that every point at infinity has flat feet.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A spread of V = $Bbb{R}^{2l}$ is a set of $ell$— dimensional subspaces $L leq V$ partitioning V {0}.
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Key Findings & Data:A spread of V = $Bbb{R}^{2l}$ is a set of $ell$— dimensional subspaces $L leq V$ partitioning V {0}.
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Conclusion & Impact:Here, it is shown that, in the corresponding topological translation spaces, every Euclidean sphere is a unital with the additional property that every point at infinity has flat feet.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

A spread of V = $Bbb{R}^{2l}$ is a set of $ell$— dimensional subspaces $L leq V$ partitioning V {0}. Here, it is shown that, in the corresponding topological translation spaces, every Euclidean sphere is a unital with the additional property that every point at infinity has flat feet.

Özet

V = $Bbb{R}^{2l}$ olmak üzere, elemanları $ell$- boyutlu alt vektör uzayları olan ve V {0} kümesini ayrıştıran bir s kümesine V vektör uzayında bir yayılım denir. Bu çalışmada, $Bbb{R}^{2l}$ vektör uzayına karşılık gelen topolojik öteleme düzlemleri içinde, sonsuzdaki her noktası bir düz ayağa sahip olan her Oklidyen kürenin bir birimlik olduğu gösterilmiştir.

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Cite This Article

SOYTÜRK, E. (2022). Unitals in topological translation planes. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 3 - Sayı: 3, 433–436. https://ajindex.com/articles/438507

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References (7)

  1. Betten, D. (1970). Nicht- desarguessche 4-dimensionale Ebenen. Arch. Math. 21, 100-102.
  2. Bödi, R.,Immervoll, S. ve Lowe, H. (2000). Smooth stable planes and the moduli space of locally compact translation planes. Monatsh. Math. 129, 303-319.
  3. Buchanan, T. and Hâhl, H. (1978). The transposition of locally compact, connected translation planes. J. Geom. 11,84-92.
  4. Buchanan, T., Hâhl, H. ve Lowen, R. (1980).
  5. Topologische Ovale, Geom. Dedicata 9, 401-424.
  6. Immervoll, S., Topological and smooth unitals, preprint. Löwe, H., Löwen, R., Soytürk, E. (2000). Self-orthogonal compact spreads and unitals in topological translation planes. Geom. Dedicata 83, 95-104.
  7. Salzmann, H., Betten, D., Grundhöfer, T., Hâhl, H., Löwen, R. ve Stroppel, M. (1995). Compact Protective Planes. De Gruyter, Berlin. Thas, J.(1992). A combinatorial characterization of Hermitian curves. J. Algebraic Combin. 1, 97-102.