Raster convergence with respect to a closure operator
Cahiers de Topologie et Géométrie Différentielle Catégoriques (2005)
- Volume: 46, Issue: 4, page 275-300
- ISSN: 1245-530X
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topGiuli, E., and Slapal, J.. "Raster convergence with respect to a closure operator." Cahiers de Topologie et Géométrie Différentielle Catégoriques 46.4 (2005): 275-300. <http://eudml.org/doc/91698>.
@article{Giuli2005,
author = {Giuli, E., Slapal, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {closure operator; raster convergence; neighborhoods; separation; compactness},
language = {eng},
number = {4},
pages = {275-300},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Raster convergence with respect to a closure operator},
url = {http://eudml.org/doc/91698},
volume = {46},
year = {2005},
}
TY - JOUR
AU - Giuli, E.
AU - Slapal, J.
TI - Raster convergence with respect to a closure operator
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2005
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 46
IS - 4
SP - 275
EP - 300
LA - eng
KW - closure operator; raster convergence; neighborhoods; separation; compactness
UR - http://eudml.org/doc/91698
ER -
References
top- [1] J. Adámek, H. Herrlich and G.E. Strecker, Abstract and Concrete Categories, Wiley & Sons, New York, 1990. Zbl0695.18001MR1051419
- [2] G. Castellini and E. Giuli, Closure operators with respect to a functor, Appl. Cat. Struct.9 (2001), 525-537. Zbl1004.18002MR1865616
- [3] G. Castellini, Connectedness with respect to a closure operator, Appl. Cat. Struct.9 (2001), 285-302. Zbl0981.18009MR1836255
- [4] G. Castellini and D. Hajek, Closure operators and connectedness, Topology Appl.55 (1994), 29-45. Zbl0791.54001MR1255295
- [5] E. Čech, Topological Spaces, in: Topological papers of Eduard Čech, Academia, Prague, 1968, pp. 432-472. Zbl0141.39401
- [6] E. Čech, Topological Spaces (Revised by Z.Frolík and M.Katĕtov), Academia, Prague, 1966. MR211373
- [7] M.M. Clementino, On connectedness via closure operator, Appl. Categorical Structures9 (2001),539-556. Zbl0993.18004MR1866869
- [8] M.M. Clementino and W. Tholen, Tychonoff's Theorem in a category, Proc. Amer. Math. Soc.124 (1996), 3311-3314. Zbl0882.18004MR1340379
- [9] M.M. Clementino and W. Tholen, Separation versus connectedness, Topology Appl.75 (1997),143-181. Zbl0906.18003MR1427747
- [10] M.M. Clementino, E. Giuli and W. Tholen, Topology in a category: compactness, Portugal. Math.53 (1996), 397-433. Zbl0877.18002MR1432147
- [11] M.M. Clementino, E. Giuli and W. Tholen, What is a quotient map with respect to a closure operator?, Appl. Categorical Structures9 (2001), 139-151. Zbl0978.18003MR1812301
- [12] D. Dikranjan and E. Giuli, Closure operators I, Topology Appl.27 (1987), 129-143. Zbl0634.54008MR911687
- [13] D. Dikranjan and E. Giuli, Compactness, minimality and closedness with respect to a closure operator, in: Proc. Int. Conf. on Categorical Topology, Prague1988, World Scientific, Singapore, 1989, 279-335. MR1047908
- [14] D. Dikranjan and W. Tholen, Categorical Structure of Closure Operators, Kluwer Academic Publishers, Dordrecht, 1995. Zbl0853.18002MR1368854
- [15] R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989. Zbl0684.54001MR1039321
- [16] E. Giuli, On m-separated projection spaces, Appl. Categorical Structures2 (1994), 91-100. Zbl0840.18003MR1283216
- [17] E. Giuli and W. Tholen, Openness with respect to a closure operator, Appl. Categorical Structures8 (2000), 487-502. Zbl0981.18001MR1799498
- [18] G. Grätzer, General Lattice Theory, Birkhäuser Verlag, Basel, 1978. Zbl0385.06014MR504338
- [19] J. Šlapal, Net spaces in categorical topology, Annals New York Acad. Sci.806 (1996), 393-412. Zbl0902.54008MR1429668
- [20] J Šlapal, Compactness in categories of S-net spaces, Appl. Categorical Structures6 (1998), 515-525. Zbl0917.54029MR1657514
- [21] J. Šlapal, Compactification of limit S-net spaces, Monatsh. Math.131 (2000), 335-341. Zbl0978.54017MR1813993
- [22] J Šlapal, Convergence structures for categories, Appl. Categorical Structures9 (2001), 557-570. Zbl1006.18005MR1866870
- [23] J. Šlapal, Compactness with respect to a convergence structure, Quaestiones Math.25 (2002), 19-27. Zbl1006.18006MR1897311
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