Abstract
We call a symmetric d d on a space X X a wC {\text {wC}} symmetric if whenever A ⊆ X A \subseteq X and there exists ε > 0 \varepsilon > 0 such that d ( x , y ) ⩾ ε d(x,y) \geqslant \varepsilon for all x x , y ∈ A y \in A , then A A is relatively discrete. We show that there are no L L -spaces which admit wC {\text {wC}} symmetries. The wC {\text {wC}} notion is extended to certain weaker structures such as F \mathcal {F} -spaces with similar results.
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 callSimilar Papers
Disclaimer: 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.
