Details

TickLabels{spec₁,…,spec_n} uses the specification spec_i for the i collection of ticks on an axis.
Possible settings for spec_i are:
Automatic automatically label ticks

All include labels

None omit labels

{lab₁,lab₂,…,lab_m} use lab_i to label position t_i
The Automatic setting for TickLabels is True for spec₁ and False otherwise.

Examples

Ticks are automatically labeled by default:

Wolfram Language code: Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickLabels -> Automatic]]

Use automatic labels for the first collection of ticks and no labels for the second:

Wolfram Language code:

Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 2}, {1, 9, 2}}, TickLabels -> {All, None}]]

Reverse the labeling of tick collections:

Wolfram Language code:

Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 2}, {1, 9, 2}}, TickLabels -> {None, All}]]

Use specific labels for each tick:

Wolfram Language code:

Graphics[AxisObject[Line[{{0, 0}, {10, 10}}], {0, 10}, TickPositions -> {{0, 10, 1}}, TickLabels -> {CharacterRange["a", "k"]}]]

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