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SELF-MAPS ON M(Zq, n + 2) ∨ M(Zq, n + 1) ∨ M(Zq, n)
최호원 충청수학회 2023 충청수학회지 Vol.36 No.4
When $G$ is an abelian group, we use the notation $M(G, n)$ to denote the Moore space. The space $X$ is the wedge product space of Moore spaces, given by $X = M(\z_q,n+2) \vee M(\z_q,n+1) \vee M(\z_q,n)$. We determine the self-homotopy classes group $[X,X]$ and the self-homotopy equivalence group $\E(X)$. We investigate the subgroups of $[M_j, M_k]$ consisting of homotopy classes of maps that induce the trivial homomorphism up to $(n+2)$homotopy groups for $j \neq k$. Using these results, we calculate the subgroup $\E_\sharp ^{dim} (X)$ of $\E(X)$ in which all elements induce the identity homomorphism up to$(n+2)$-homotopy groups of $X$
무기 난연제 입자를 포함하는 난연성 모다크릴 섬유의 습식방사
최호원,홍정혁,심재은,엄유신,육지호 한국고분자학회 2021 한국고분자학회 학술대회 연구논문 초록집 Vol.46 No.2
아크릴로나이트릴(acrylonitrile)과 비닐리덴 클로라이드(vinylidene chloride)가 공중합 된 poly(acrylonitrile-co-vinylidene chloride)(PANVDC)은 우수한 난연성을 가지고 있는 것으로 알려져 있다. 그러나 이러한 PANVDC 섬유도 난연 섬유제품에 요구되는 충분한 난연성능을 갖지 못하여 Al₂(OH)₃, Mg(OH)₂, Sb₂O₃, Sb₂O5, ZnSn(OH)6, ZnSnO₃ 와 같은 무기 난연제를 첨가하여 원사를 제조하여 난연성을 더욱 향상시키고 있다. 본 연구에서는 무기 난연제를 함유한 PANVDC 방사용액의 문제점인 용액점도 상승과 색상 변화를 개선하기 위한 방법을 개발하였으며, 이러한 개선된 방법으로 제조된 PANVDC 방사용액을 습식방사 하여 우수한 난연성의 PANVDC 원사를 제조하고 그 특성을 평가하였다.
최호원 고려대학교 역사연구소 2013 사총 Vol.80 No.-
As the end of the sixth century Goguryeo began to attack on Silla. King Youngryu who came to throne in A.D. 618 also attacked on Silla, however after A.D. 638 fighting with Silla came to a standstill. Naturally there were groups who had dissatisfaction with such the situation, they were Yeongaesomoon, etc. After the death of his father, Yeongaesomoon had a difficulty with the just succession of status. Therefore he mounted a coup solidarizing with Daeyang Group, and enthroned King Bojang who had similar recognition in Silla. But Yeongaesomoon regime was challenged in and out. There were resist groups as Ansisung castellan inside, and aggravation in relation Tang of attack on Silla. Yeongaesomoon attacked Silla immediately after the coup, and refused the Silla’s asking for a dispatch of troops after the battle of Daeyasung. Meanwhile Taizong of Tang demanded aborting the attack on Silla, and put pressure on Goguryeo. Yeongaesomoon insisted the attak on Silla continuously, then he suffered the Tang’s expedition with the lack of preparation. Therefore his hard-line policy on Silla was also delayed. Developing similar situation of early seventh century, Goguryeo’s fate was affected.
THE GENERALIZED COGOTTLIEB GROUPS, RELATED ACTIONS AND EXACT SEQUENCES
최호원,김재룡,Nobuyuki Oda 대한수학회 2017 대한수학회지 Vol.54 No.5
The generalized coGottlieb sets are not known to be groups in general. We study some conditions which make them groups. Moreover, there are actions on the generalized coGottlieb sets which are different from known actions up to now. We give related exact sequence of the generalized coGottlieb sets. Using them, we obtain certain results related to the maps which preserve generalized coGottlieb sets.
Self-pair homotopy equivalences related to co-variant functors
최호원,이기영,신혜선 대한수학회 2024 대한수학회지 Vol.61 No.3
The category of pairs is the category whose objects are maps between two based spaces and morphisms are pair-maps from one object to another object. To study the self-homotopy equivalences in the category of pairs, we use covariant functors from the category of pairs to the group category whose objects are groups and morphisms are group homomorphisms. We introduce specific subgroups of groups of self-pair homotopy equivalences and put these groups together into certain sequences. We investigate properties of these sequences, in particular, the exactness and split. We apply the results to two special functors, homotopy and homology functors and determine the suggested several subgroups of groups of self-pair homotopy equivalences.
SELF-HOMOTOPY EQUIVALENCES RELATED TO COHOMOTOPY GROUPS
최호원,이기영,오형석 대한수학회 2017 대한수학회지 Vol.54 No.2
Given a topological space $X$ and a non-negative integer $k$, we study the self-homotopy equivalences of $X$ that do not change maps from $X$ to $n$-sphere $S^n$ homotopically by the composition for all $n\geq k$. We denote by $\E_{k}^{\sharp}(X)$ the set of all homotopy classes of such self-homotopy equivalences. This set is a dual concept of $\E_\sharp^k(X)$, which has been studied by several authors. We prove that if $X$ is a finite CW complex, there are at most a finite number of distinguishing homotopy classes $\E_{k}^{\sharp}(X)$, whereas $\E_{\sharp}^{k}(X)$ may not be finite. Moreover, we obtain concrete computations of $\E_{k}^{\sharp}(X)$ to show that the cardinal of $\E_{k}^{\sharp}(X)$ is finite when $X$ is either a Moore space or co-Moore space by using the self-closeness numbers.