APPROXIMATE MAPS, FILTER MONAD, AND A REPRESENTATION OF LOCALIC MAPS

被引：0
|
作者：
Banaschewski, Bernhard [1 ]
Pultr, Ales [2 ]
机构：
[1] McMaster Univ, Dept Math & Stat, 1280 Main St W, Hamilton, ON L8S 4K1, Canada
[2] Charles Univ Prague, Dept Appl Math & ITI, MFF, CZ-11800 Prague 1, Czech Republic
来源：
ARCHIVUM MATHEMATICUM | 2010年 / 46卷 / 04期
关键词：
frames (locales); localic maps; approximation; Kleisli representation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A covariant representation of the category of locales by approximate maps (mimicking a natural representation of continuous maps between spaces in which one approximates points by small open sets) is constructed. It is shown that it can be given a Kleisli shape, as a part of a more general Kleisli representation of meet preserving maps. Also, we present the spectrum adjunction in this approximation setting.
引用
收藏
页码：285 / 298
页数：14
相关论文
共 50 条
  • [41] APPROXIMATION OF APPROXIMATE FIBRATIONS BY BUNDLE MAPS
    IM, YH
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 339 (01) : 279 - 295
  • [42] Diffusion Maps Particle Filter
    Forster, Lukas
    Schmidt, Alexander
    Kellermann, Walter
    Shnitzer, Tal
    Talmon, Ronen
    2019 27TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO), 2019,
  • [43] Logarithm odds maps for shape representation
    Pohl, Xilian M.
    Fisher, John
    Shenton, Martha
    McCarley, Robert W.
    Grimson, W. Eric L.
    Kikinis, Ron
    Wells, William M.
    MEDICAL IMAGE COMPUTING AND COMPUTER-ASSISTED INTERVENTION - MICCAI 2006, PT 2, 2006, 4191 : 955 - 963
  • [44] EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES
    WILLSON, SJ
    PACIFIC JOURNAL OF MATHEMATICS, 1975, 56 (01) : 291 - 296
  • [45] Maps in three-dimensional representation
    Souza, Alessandra
    CONFINS-REVUE FRANCO-BRESILIENNE DE GEOGRAPHIE-REVISTA FRANCO-BRASILEIRA DE GEOGRAFIA, 2020, 47
  • [46] Stratification for the singular set of approximate harmonic maps
    Aaron Naber
    Daniele Valtorta
    Mathematische Zeitschrift, 2018, 290 : 1415 - 1455
  • [47] Remarks on approximate harmonic maps in dimension two
    Wang, Changyou
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (02)
  • [48] Science and representation: the case of genetic maps
    Barahona, Ana
    HISTORY AND PHILOSOPHY OF THE LIFE SCIENCES, 2007, 29 (02): : 145 - 159
  • [49] On a representation of commuting maps by tensor products
    Grunenfelder, L
    Kosir, T
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 251 : 215 - 222
  • [50] Spatial Representation: Maps in a Temporal Void
    Giocomo, Lisa M.
    Moser, Edvard I.
    CURRENT BIOLOGY, 2011, 21 (23) : R962 - R964
12345