Only 3-generalized metric spaces have a compatible symmetric topology
Tomonari Suzuki, Badriah Alamri, Misako Kikkawa (2015)
Open Mathematics
Similarity:
We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.