• Title/Summary/Keyword: mathematical structures

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ON LIFTING Cfk -STRUCTURES

  • Yeon Soo Yoon
    • Journal of the Chungcheong Mathematical Society
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    • v.36 no.4
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    • pp.297-305
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    • 2023

  • In this paper, we study some properties about Cfk-structures and obtain a sufficient condition to be lifting Cfk-structure, and using the above result, we can obtain a Stasheff's result about to be lifting H-structure as a corollary.

  • https://doi.org/10.14403/jcms.2023.36.4.297 인용 PDF

ON THE FINITENESS OF REAL STRUCTURES OF PROJECTIVE MANIFOLDS

  • Kim, Jin Hong
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.109-115
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    • 2020

  • Recently, Lesieutre constructed a 6-dimensional projective variety X over any field of characteristic zero whose automorphism group Aut(X) is discrete but not finitely generated. As an application, he also showed that X is an example of a projective variety with infinitely many non-isomorphic real structures. On the other hand, there are also several finiteness results of real structures of projective varieties. The aim of this short paper is to give a sufficient condition for the finiteness of real structures on a projective manifold in terms of the structure of the automorphism group. To be more precise, in this paper we show that, when X is a projective manifold of any dimension≥ 2, if Aut(X) does not contain a subgroup isomorphic to the non-abelian free group ℤ ∗ ℤ, then there are only finitely many real structures on X, up to ℝ-isomorphisms.

  • https://doi.org/10.4134/BKMS.b190084 인용 PDF KSCI

A Study on Teachers' Conceptions of Mathematics (교사의 수학적 관념에 대한 연구)

  • 김용대
    • The Mathematical Education
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    • v.41 no.1
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    • pp.35-44
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    • 2002

  • The purpose of this study is to estimate teachers'conceptions of mathematics through the conception on compositions of mathematical knowledge, the conception on structure of mathematical knowledge, the conception on status of mathematical knowledge, the conception on mathematical activity, and the conception of mathematics learning. This study reached the following conclusions: Most of teachers has more internal viewpoint than external viewpoint on the compositions, structures and status of mathematical knowledge, mathematical activity and mathematics learning.

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