Click here to flash read.
arXiv:2402.04565v2 Announce Type: replace
Abstract: For a metrizable space, we consider the space of all metrics generating the same topology of the metrizable space, and this space of metrics is equipped with the supremum metric. In this paper, for every metrizable space, we establish that the space of metrics on the metrizable space is Baire. We also show that the set of all complete metrics is comeager in the space of metrics. Moreover, we investigate non--Archimedean analogues of these results.
Click here to read this post out
ID: 813380; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: April 19, 2024, 7:32 a.m.
Changes:
Dictionaries:
Words:
Spaces:
Views: 11
CC:
No creative common's license
No creative common's license
Comments: