Abstract
Let X be a Hausdorff space and A CX a continuum. A is said to be a Universal Subcontinuum (USC) if AnB is connected for every continuum B CX. Let a be a collection of USC's of a Hausdorff space. Then a is said to have the finite partition property if a has a decomposition into a finite number of subcollections each having the finite intersection property. A result due to W. J. Gray [1] can be easily modified to show that in a Hausdorff space, a collection of USC's has the finite intersection property if every pair has a common point. Other properties of USC's are given in [2 ] and [3 ].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
