Vol. 65, No. 2, 1976

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
The Journal
Editorial Board
Special Issues
Submission Guidelines
Submission Form
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
Other MSP Journals
The absolute Baire property

John C. Morgan, II

Vol. 65 (1976), No. 2, 421–436

In earlier papers the author has formulated an axiomatic foundation for a general theory of point sets, one of whose purposes is the unification of analogous theorems concerning Baire category and Lebesgue measure. Within this context, a method is given in the present paper for unifying the Baire property in the restricted sense and absolute measurability on the real line.

That absolute measurability is the appropriate measure-theoretic analogue of the Baire property in the restricted sense was suggested by E. Marczewski in a classical paper in 1937, after he had established the Baire property (in the wide sense) and Lebesgue measurability as analogous concepts.

Mathematical Subject Classification 2000
Primary: 54H05
Received: 19 April 1976
Published: 1 August 1976
John C. Morgan, II