Hi @ZhaJiMan, this topic has been brought up several times recently (see, e.g., #4825, #6607, #6704).

I can't tell much about your latitude / longitude case without a more detailed example, but looking at your simple case the result is the one I would expect, i.e., rename_dims renames only the dimension (not the coordinate).

Note that with version 2022.6.0, the space coordinate keeps its index so that you can still use it with .sel():

```python renamed = ds.rename_dims(space='label'))

renamed

<xarray.Dataset>

Dimensions: (label: 3)

Coordinates:

* space (label) <U1 'a' 'b' 'c'

Dimensions without coordinates: label

Data variables:

x (label) int64 1 2 3

renamed.sel(space="a")

<xarray.Dataset>

Dimensions: ()

Coordinates:

space <U1 'a'

Data variables:

x int64 1

```

Given that we can now use non-dimension coordinates for data selection, we should probably remove the "Dimensions without coordinates: label" in the repr for such case, as it becomes rather confusing. We should probably change that line to something like "Dimensions without index" or "Dimensions without indexed coordinates" or address that in the indexes repr section (#6795).