• Bulletin of the Korean Mathematical Society
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• v.34 no.4
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• pp.509-518
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• 1997

In this paper, we study the developing maps of the Lie groups with left-invariant affinely flat structures. We make some bacis observations on the nature of the developing images and show that the developing map for an incomplete affine structure splits as a product of a covering map of codimension 1 and a diffeomorphism of dimension 1.

• Communications of the Korean Mathematical Society
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• v.13 no.1
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• pp.109-121
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• 1998

Let X,Y be connected, locally connected, semilocally simply connected and $f,g : X \to Y$ be a pair of maps. We find an upper bound of the Reidemeister number R(f,g) by using the regular coverig spaces.

• Journal of the Korean Mathematical Society
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• v.44 no.5
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• pp.1079-1092
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• 2007

This paper studies the deformation theory of a holomorphic surjective map from a normal compact complex space X to a compact $K\"{a}hler$ manifold Y. We will show that when the target has non-negative Kodaira dimension, all deformations of surjective holomorphic maps $X{\rightarrow}Y$ come from automorphisms of an unramified covering of Y and the underlying reduced varieties of associated components of Hol(X, Y) are complex tori. Under the additional assumption that Y is projective algebraic, this was proved in [7]. The proof in [7] uses the algebraicity in an essential way and cannot be generalized directly to the $K\"{a}hler$ setting. A new ingredient here is a careful study of the infinitesimal deformation of orbits of an action of a complex torus. This study, combined with the result for the algebraic case, gives the proof for the $K\"{a}hler$ setting.

• Journal of the Korean association of regional geographers
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• v.15 no.1
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• pp.16-35
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• 2009

This paper is to compare the contexts and old place names in old county maps of Goryeong-hyeon(高靈縣) according to the four types of maps. 23 maps covering Goryeong-hyeon were collected from the old county-map atlas(郡縣地圖帖) and Eupji(邑誌). The first type(named 'picture county map') included 8 county-maps in which information of military, and administrative contents are mainly mapped. The second type(named '1-ri grid system map') included 4 county maps in which information about beacon routes and road systems were regarded as very important. The third type(named '20-ri grid-system map(方眼地圖)' included 4 county-maps which were drawn as same scale with 20-ri(里) grids. The fourth type(named 'local county-map(地方郡縣地圖)' included 5 county maps which were drawn by local mappers. Types of toponyms which were included in maps are different by the propose of map-drawing. In the picture county maps, place names from military, and administrative contents are written. In the 1-ri grid system county maps, place names especially from military and transportation are fluent. In the 20-ri grid system county maps, generic name from natural environment, such as mountains are very fluent. In the local county maps, city-walls and castles are drawn exaggeratively and detailed generic name from warehouses and villages are written in those maps. This study shows that Daedongyeo-jido was drawn on the basis of 20-ri grid system county maps with the supplementation of geographical information.

• The Pure and Applied Mathematics
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• v.23 no.4
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• pp.329-337
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• 2016

In this paper, we show that every compactification, which is a quasi-F space, of a space X is a Wallman compactification and that for any compactification K of the space X, the minimal quasi-F cover QFK of K is also a Wallman compactification of the inverse image ${\Phi}_K^{-1}(X)$ of the space X under the covering map ${\Phi}_K:QFK{\rightarrow}K$. Using these, we show that for any space X, ${\beta}QFX=QF{\beta}{\upsilon}X$ and that a realcompact space X is a projective object in the category $Rcomp_{\sharp}$ of all realcompact spaces and their $z^{\sharp}$-irreducible maps if and only if X is a quasi-F space.

• Journal of the Korean Geographical Society
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• v.40 no.1 s.106
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• pp.1-26
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• 2005

This paper is to classify old county-maps of Dongrae-bu(東萊府), Busan in late-Chosun dynasty and to analyze place names in maps comparatively. 26 maps covering Dongrae-bu were collected from the old county-map atlas(郡縣地圖帖) and Eupji(邑誌). By e comparative analysis of contents, those maps can be classified into four types. The first type(named 'Haedong-Jido(海東地圖)') included 7 county-maps in which information of military, and administrative contents are mainly mapped. The second type(named 'Yeongnam-do(嶺南地圖)') included 5 coon maps in which information about beacon routes and road systems were regarded as very important. The third type(named 'Grid-system map(方眼式地圖)') included 4 county-maps which were drawn as same scale with 20-ri(理) grids. The fourth type(named 'Local Count-map(地方郡懸地圖)') included 7 county maps which were drawn by local mappers. Comparative analysis of place names between those four types revealed that Grid-system maps were developed toward the large scale whole map of Korea in the 19th century.

• Proceedings of the IEEK Conference
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• 1998.10a
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• pp.155-158
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• 1998

The KOMPSAT system incorporates multiple missions designed to provide various applications in the field of Korean peninsula observation covering land, sea and coastal zones. The missions are Korea cartography (1:25,000 scale maps of the Korean peninsula), biological oceanography and science instrument accommodation. The operational availability of KOMPSAT TTC system should be predicted more accurately because its failure has a significant influence on satellite command and tracking and on satellite data collection. In this paper, system availability structure of KOMPSAT TTC system are made and availability of KOMPSAT TTC system is analyzed aspect to the system operation in accordance with logistic condition.

• Proceedings of the KSRS Conference
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• 2003.11a
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• pp.1090-1092
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• 2003

The aim of this study is to describe the problems and solutions for creating a synthetic aperture radar (SAR) mosaic covering the total territory of Mongolia and highlight the role of the available SAR database for updating different thematic layers stored in a geographical information system (GIS).

• Journal of the Korean Geographical Society
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• v.39 no.5 s.104
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• pp.804-818
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• 2004

As spatial data resources become more abundant, the potential for conflict among them increases. Those conflicts can exist between two or many spatial datasets covering the same area and categories. Therefore, it becomes increasingly important to be able to effectively relate these spatial data sources with others then create new spatial datasets with matching geometry and topology. One extensive spatial dataset is US Census Bureau's TIGER file, which includes census tracts, block groups, and blocks. At present, however, census maps often carry information that conflicts with municipally-maintained detailed spatial information. Therefore, in order to fully utilize census maps and their valuable demographic and economic information, the locational information of the census maps must be reconciled with the more accurate municipally-maintained reference maps and imagery. This paper formulates a conceptual framework and two map models of map conflation to make geometrically and topologically consistent source maps according to the reference maps. The first model is based on the cell model of map in which a map is a cell complex consisting of 0-cells, 1-cells, and 2-cells. The second map model is based on a different set of primitive objects that remain homeomorphic even after map generalization. A new hierarchical based map conflation is also presented to be incorporated with physical, logical, and mathematical boundary and to reduce the complexity and computational load. Map conflation principles with iteration are formulated and census maps are used as a conflation example. They consist of attribute embedding, find meaning node, cartographic 0-cell match, cartographic 1-cell match, and map transformation.

• Publications of The Korean Astronomical Society
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• v.32 no.1
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• pp.11-15
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• 2017

We present the AKARI far-infrared (FIR) all-sky maps and describe its characteristics, calibration accuracy and scientific capabilities. The AKARI FIR survey has covered 97% of the whole sky in four photometric bands, which cover continuously 50-180 micron with band central wavelengths of 65, 90, 140, and 160 microns. The data have been publicly released in 2014 (Doi et al., 2015) with improved data quality that have been achieved since the last internal data release (Doi et al., 2012). The accuracy of the absolute intensity is ${\leq}10%$ for the brighter regions. Quantitative analysis of the relative intensity accuracy and its dependence upon spatial scan numbers has been carried out. The data for the first time reveal the whole sky distribution of interstellar matter with arcminute-scale spatial resolutions at the peak of dust continuum emission, enabling us to investigate large-scale distribution of interstellar medium in great detail. The filamentary structure covering the whole sky is well traced by the all-sky maps. We describe advantages of the AKARI FIR all-sky maps for the study of interstellar matter comparing to other observational data.