
The Library
Fuzzy topological spaces
Tools
Hutton, Bruce (1976) Fuzzy topological spaces. PhD thesis, University of Warwick.
|
PDF
WRAP_Theses_Hutton_1976.pdf - Submitted Version - Requires a PDF viewer. Download (2654Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b1748094~S1
Abstract
(1) We define normality for fuzzy topological spaces, define a fuzzy unit interval, and prove a Urysohn type lemma.
(2) We define uniformities on fuzzy lattices, and characterise uniformizability in terms of complete regularity.
(3) We define the product of a collection of fuzzy topological spaces. We define compactness and connectedness, and show that the product is compact (connected) iff each factor space is.
(4) We place normality and complete regularity within a coherent hierarchy of separation and regularity axioms. We prove the usual implications, and the usual theorems about compactness and products.
(5) We give alternative definitions of uniformities and pseudometrics, and show a compact R1 space has a unique uniformity.
Item Type: | Thesis (PhD) | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Fuzzy topology | ||||
Official Date: | 1976 | ||||
Dates: |
|
||||
Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Elworthy, K. D. | ||||
Extent: | 108, [2] leaves | ||||
Language: | eng |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year