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Cozfine and Measurable Uniform Frames by J.L. Walters-Wayland is a Mathematics article available to read on EtoBox.

What is Cozfine and Measurable Uniform Frames about?

The vital role played by the cozero part of a completely regular, and hence uniformizable, frame is well known, and has been studied in the more general setting of -frames. Thus, to consider uniformities generated in some way by the cozero part, namely what will be called cozÿne uniformities, is a natural weakening of the ÿne condition. Similarly, what amounts to having the cozero part complemented is also a natural condition to consider and gives rise to what will be called the measurable uniform frames. The aim of the paper is, therefore, to consider the notions of "ÿne", "cozÿne" and "measurable" in a frame setting. These will be shown to deÿne re ective subcategories of uniform, or separable uniform, frames, and their behaviour relative to the complete core ection will be discussed. The latter is of interest considering the interaction between the completion and the state of ÿneness which gives various compactiÿcations. For example, the Samuel compactiÿcation may be described as the completion of the precompact core ection of the ÿne uniformity.

Who reads Cozfine and Measurable Uniform Frames?

Author

J.L. Walters-Wayland

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)

Published

2000

Language

EN

Field

Mathematics (Physical Sciences)