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pro vyhledávání: '"Bruce S. Burdick"'
Autor:
Bruce S. Burdick
Publikováno v:
Applied General Topology, Vol 4, Iss 1, Pp 99-114 (2003)
We investigate the use of nets indexed by preorders in uniform spaces. Nine different Cauchy conditions and four different convergence conditions yield 36 completeness properties, each of which turns out to be equivalent to a known form of completene
Externí odkaz:
https://doaj.org/article/29e35be300684abaaed202025c01385c
Autor:
Bruce S. Burdick
Publikováno v:
General Topology and Applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6babc4022424ade00b9995d5acd61e2
https://doi.org/10.1201/9781003066743-2
https://doi.org/10.1201/9781003066743-2
Autor:
Bruce S. Burdick
Publikováno v:
Theoretical Computer Science. 275(1-2):69-77
Problem 540 in Open Problems in Topology (1990) asks whether iterating the operation of taking the dual topology eventually leads to a mutually dual pair of topologies. We give an affirmative answer to Problem 540 for several classes of spaces. Some
Autor:
Bruce S. Burdick
Publikováno v:
Annals of the New York Academy of Sciences. 704:28-33
Those uniform spaces whose uniform hyperspaces are locally compact are characterized. Some properties of the set of points of local compactness of a uniform hyperspace are investigated.
Autor:
Mark Bowron, Bruce S. Burdick
Publikováno v:
The American Mathematical Monthly. 113:83
Autor:
Bruce S. Burdick, Paul Bracken
Publikováno v:
The American Mathematical Monthly. 108:771
Autor:
Bruce S. Burdick
Publikováno v:
Electronic Notes in Theoretical Computer Science. :6
Problem 540 in Open Problems in Topology (1990) asks whether iteratingthe operation of taking the dual topology eventually leads to a mutually dual pair of topologies. Some special cases of the Problem 540 are discussed. These are: all T 1 spaces, th