Monotonically

Some articles on monotonically:

Monotonically Normal Space - Properties
... Any generalised metric is monotonically normal even without choice ... An important property of monotonically normal spaces is that any two separated subsets are strongly separated there ... Monotone normality is hereditary property and a monotonically normal space is always normal by the first condition of the second equivalent definition ...
Alternating Series Test - Proof - Proof of Partial Sum Error
... In the proof of convergence we saw that is monotonically increasing ... in brackets is non-positive, we see that is monotonically decreasing ... Similarly, since is monotonically increasing and converging to, we have ...