• Title/Summary/Keyword: group actions

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A Collaboration Model Using Annotations over Shared Documents (주석을 통한 문서 기반의 공동작업 모델)

  • Lee, Eun-Jung
    • The KIPS Transactions:PartB
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    • v.10B no.2
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    • pp.205-212
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    • 2003
  • ThruBook is a collaborative work platform based on ebook documents, supporting synchronized group work sessions. Using this platform, users can participate in a group session based on a same ebook, and share group actions synchronously. In this paper, we consider annotations as all kinds of additional data on ebooks, including bookmarks, memos, and figures. Also, model shared actions such as sharing/navigating these annotations. As a result, we could model all collaborative actions as annotations, and propose a collaborative work model as communicating annotation objects between session participants. This approach implemented in ThruBook platform could easily model shared actions in collaborative systems. The collaborative work platform implemented in ThruBook can be applied to other types of collaborative work systems.

CONTINUOUS SHADOWING AND STABILITY FOR GROUP ACTIONS

  • Kim, Sang Jin
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.53-65
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    • 2019
  • Recently, Chung and Lee [2] introduced the notion of topological stability for a finitely generated group action, and proved a group action version of the Walters's stability theorem. In this paper, we introduce the concepts of continuous shadowing and continuous inverse shadowing of a finitely generated group action on a compact metric space X with respect to various classes of admissible pseudo orbits and study the relationships between topological stability and continuous shadowing and continuous inverse shadowing property of group actions. Moreover, we introduce the notion of structural stability for a finitely generated group action, and we prove that an expansive action on a compact manifold is structurally stable if and only if it is continuous inverse shadowing.

ON SPIN ALTERNATING GROUP ACTIONS ON SPIN 4-MANIFOLDS

  • Kiyono, Kazuhiko;Liu, Ximin
    • Journal of the Korean Mathematical Society
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    • v.43 no.6
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    • pp.1183-1197
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    • 2006
  • Let X be a smooth, closed, connected spin 4-manifold with $b_1(X)=0$ and signature ${\sigma}-(X)$. In this paper we use Seiberg-Witten theory to prove that if X admits a spin alternating $A_4$ action, then $b^+_2(X)$ ${\geq}$ |${\sigma}{(X)}$|/8+3 under some non-degeneracy conditions.

FREE CYCLIC ACTIONS OF THE 3-DIMENSIONAL NILMANIFOLD

  • Shin, Joonkook;Goo, Daehwan;Park, Eunmi
    • Journal of the Chungcheong Mathematical Society
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    • v.14 no.2
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    • pp.27-35
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    • 2001
  • We shall deal with ten cases out of 15 distinct almost Bieberbach groups up to Seifert local invariant. In those cases we will show that if G is a finite abelian group acting freely on the standard nilmanifold, then G is cyclic, up to topological conjugacy.

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NONABELIAN GROUP ACTIONS ON 3-DIMENSIONAL NILMANIFOLDS REVERSING FIBER ORIENTATION

  • Koo, Daehwan;Lee, Taewoong;Shin, Joonkook
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.4
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    • pp.475-486
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    • 2018
  • We study free actions of finite nonabelian groups on 3-dimensional nilmanifolds with the first homology ${\mathbb{Z}}^2{\bigoplus}{\mathbb{Z}}_2$ which yield an orbit manifold reversing fiber orientation, up to topological conjugacy. We show that those nonabelian groups are $D_4$(the dihedral group), $Q_8$(the quaternion group), and $C_8.C_4$(the $1^{st}$ non-split extension by $C_8$ of $C_4$ acting via $C_4/C_2=C_2$).

THE GENERALIZED COGOTTLIEB GROUPS, RELATED ACTIONS AND EXACT SEQUENCES

  • Choi, Ho-Won;Kim, Jae-Ryong;Oda, Nobuyuki
    • Journal of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1623-1639
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    • 2017
  • 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.

The Effect of IEEIA Instruction on Responsible Environmental Behavior and Associated Variables in High School Student (IEEIA 수업이 우리나라 고등학생의 환경행동 및 관련변수에 미치는 효과)

  • Choi, So-Young;Nam, Young-Sook
    • Hwankyungkyoyuk
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    • v.17 no.1
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    • pp.90-100
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    • 2004
  • This study has the goal to modify ‘Investigating and Evaluating Environmental Issues and Actions’(IEEIA) instruction in the sense of Korean ecological sociocultural characteristics and ‘ecology and environment' curriculum and to assess the effects of modified IEEIA instruction on responsible environmental behavior and associated variables in high school student. A modified pre- and post-test nonequivalent control group design was utilized with 4 intact classes from J-high school at Seo-cheon, Chungcheongnamdo. Pre- and post-test data were collected on the following variables: responsible environmental behavior, knowledge of and skill in using environmental actions strategies, in-depth knowledge about issues, and locus of control. Analysis of t-test was used to compare pretest with posttest means of treatment group and control group. In treatment group, statistically significant differences between pretest and posttest were found with all variables. The treatment was found to be more effective than the control in increasing the variables of responsible environmental behavior, knowledge of and skill in using environmental actions strategies, and locus of control.

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