The Resource Some results on quasi-uniform spaces, by Karen Sylvia Carter

Some results on quasi-uniform spaces, by Karen Sylvia Carter

Label
Some results on quasi-uniform spaces
Title
Some results on quasi-uniform spaces
Statement of responsibility
by Karen Sylvia Carter
Creator
Author
Subject
Language
eng
Summary
"An example of a quasi-uniform space which is complete but not strongly complete is constructed. We also give an example to show that a T1 space does not necessarily have a T1 strong completion. The definition of Cauchy filter is discussed. An alternate definition, referred to as C-filter, is considered. A construction of a C-completion is given and it is shown that if a quasi-pseudometric is complete, then the corresponding quasi-uniform structure is C-complete. Conjugate quasi-uniform spaces are discussed. A theorem relating a transitive base of a quasi-uniform structure to a transitive base of the conjugate structure is proved. The generation of the fine quasi-uniform structure is discussed. A general method for constructing compatible quasi-uniform structures is obtained. It is shown that the method can be applied to obtain a compatible non-transitive quasi-uniform structure as well as any compatible transitive quasi-uniform structure"--Abstract, leaf iii
Member of
Cataloging source
UMR
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Carter, Karen Sylvia
Degree
Ph. D.
Dissertation year
1973.
Granting institution
University of Missouri--Rolla
Index
no index present
Literary form
non fiction
Nature of contents
  • bibliography
  • theses
http://library.link/vocab/subjectName
Quasi-uniform spaces
Label
Some results on quasi-uniform spaces, by Karen Sylvia Carter
Instantiates
Production
Note
  • Vita
  • Typescript
Bibliography note
Includes bibliographical references (leaf 32)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
6036936
Dimensions
29 cm
Extent
iv, 33 leaves
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)6036936
Label
Some results on quasi-uniform spaces, by Karen Sylvia Carter
Production
Note
  • Vita
  • Typescript
Bibliography note
Includes bibliographical references (leaf 32)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
6036936
Dimensions
29 cm
Extent
iv, 33 leaves
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)6036936

Library Locations

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      400 West 14th Street, Rolla, MO, 65409, US
      37.955220 -91.772210
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