In "CCNP and CCIE Enterprise Core ENCOR 350-401 Official Cert Guide" we have this definition of max age:
Max age: This is the maximum length of time that passes before a bridge port saves its BPDU information.
Is this correct ?
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In short, Max Age is the maximum age any information learned from BPDUs can have before it is dropped (aged out). In doubt, you should refer to IEEE 802.1Q.
From that book the entire section is
Max age: This is the maximum length of time that passes before a bridge port saves its BPDU information. The default value is 20 seconds, but the value can be configured with the command spanning-tree vlan vlan-id max-age maxage. If a switch loses contact with the BPDU’s source, it assumes that the BPDU information is still valid for the duration of the Max Age timer.
The second half does put it into a better perspective but it's still ambiguous. It should maybe read ... is the maximum length of time for that a bridge port saves its BPDU information.