Almost locatedness in uniform spaces

Douglas Bridges; Hajime Ishihara; Ray Mines; Fred Richman; Peter Schuster; Luminiţa Vîţă

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 1, page 1-12
  • ISSN: 0011-4642

Abstract

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A weak form of the constructively important notion of locatedness is lifted from the context of a metric space to that of a uniform space. Certain fundamental results about almost located and totally bounded sets are then proved.

How to cite

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Bridges, Douglas, et al. "Almost locatedness in uniform spaces." Czechoslovak Mathematical Journal 57.1 (2007): 1-12. <http://eudml.org/doc/31108>.

@article{Bridges2007,
abstract = {A weak form of the constructively important notion of locatedness is lifted from the context of a metric space to that of a uniform space. Certain fundamental results about almost located and totally bounded sets are then proved.},
author = {Bridges, Douglas, Ishihara, Hajime, Mines, Ray, Richman, Fred, Schuster, Peter, Vîţă, Luminiţa},
journal = {Czechoslovak Mathematical Journal},
keywords = {uniform structure; located; constructive; uniform structure; locatedness; constructive topology; constructive mathematics},
language = {eng},
number = {1},
pages = {1-12},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Almost locatedness in uniform spaces},
url = {http://eudml.org/doc/31108},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Bridges, Douglas
AU - Ishihara, Hajime
AU - Mines, Ray
AU - Richman, Fred
AU - Schuster, Peter
AU - Vîţă, Luminiţa
TI - Almost locatedness in uniform spaces
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 1
EP - 12
AB - A weak form of the constructively important notion of locatedness is lifted from the context of a metric space to that of a uniform space. Certain fundamental results about almost located and totally bounded sets are then proved.
LA - eng
KW - uniform structure; located; constructive; uniform structure; locatedness; constructive topology; constructive mathematics
UR - http://eudml.org/doc/31108
ER -

References

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  7. General Topology (Part 1), Addison-Wesley, Reading, MA, 1966. (1966) 
  8. 10.1016/0003-4843(82)90010-9, Ann. Math. Logic 23 (1982), 55–98. (1982) MR0674673DOI10.1016/0003-4843(82)90010-9
  9. Apartness as a relation between subsets, Combinatorics, Computability and Logic (Proceedings of DMTCS’01, Constanţa, Romania, 2–6 July 2001), C. S. Calude, M. J. Dinneen, S. Sburlan (eds.), DMTCS Series 17, Springer-Verlag, London, 2001, pp. 203–214. (2001) MR1934832
  10. Intuitionistic General Topology, PhD. Thesis, University of Amsterdam, 1966. (1966) MR0285356
  11. Constructivism in Mathematics, Studies in Mathematical Logic and the Foundations of Mathematics, 121 and 123, North-Holland, Amsterdam, 1988. (1988) 

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