The Resource Some results on quasiuniform spaces, by Karen Sylvia Carter
Some results on quasiuniform spaces, by Karen Sylvia Carter
Resource Information
The item Some results on quasiuniform spaces, by Karen Sylvia Carter represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.This item is available to borrow from 1 library branch.
Resource Information
The item Some results on quasiuniform spaces, by Karen Sylvia Carter represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.
This item is available to borrow from 1 library branch.
 Summary
 "An example of a quasiuniform 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 Cfilter, is considered. A construction of a Ccompletion is given and it is shown that if a quasipseudometric is complete, then the corresponding quasiuniform structure is Ccomplete. Conjugate quasiuniform spaces are discussed. A theorem relating a transitive base of a quasiuniform structure to a transitive base of the conjugate structure is proved. The generation of the fine quasiuniform structure is discussed. A general method for constructing compatible quasiuniform structures is obtained. It is shown that the method can be applied to obtain a compatible nontransitive quasiuniform structure as well as any compatible transitive quasiuniform structure"Abstract, leaf iii
 Language
 eng
 Extent
 iv, 33 leaves
 Note

 Vita
 Typescript
 Label
 Some results on quasiuniform spaces
 Title
 Some results on quasiuniform spaces
 Statement of responsibility
 by Karen Sylvia Carter
 Language
 eng
 Summary
 "An example of a quasiuniform 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 Cfilter, is considered. A construction of a Ccompletion is given and it is shown that if a quasipseudometric is complete, then the corresponding quasiuniform structure is Ccomplete. Conjugate quasiuniform spaces are discussed. A theorem relating a transitive base of a quasiuniform structure to a transitive base of the conjugate structure is proved. The generation of the fine quasiuniform structure is discussed. A general method for constructing compatible quasiuniform structures is obtained. It is shown that the method can be applied to obtain a compatible nontransitive quasiuniform structure as well as any compatible transitive quasiuniform structure"Abstract, leaf iii
 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 MissouriRolla
 Index
 no index present
 Literary form
 non fiction
 Nature of contents

 bibliography
 theses
 http://library.link/vocab/subjectName
 Quasiuniform spaces
 Label
 Some results on quasiuniform spaces, by Karen Sylvia Carter
 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 quasiuniform spaces, by Karen Sylvia Carter
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.mst.edu/portal/SomeresultsonquasiuniformspacesbyKaren/5hVbM_tfJt0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.mst.edu/portal/SomeresultsonquasiuniformspacesbyKaren/5hVbM_tfJt0/">Some results on quasiuniform spaces, by Karen Sylvia Carter</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.mst.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.mst.edu/">Missouri University of Science & Technology Library</a></span></span></span></span></div>