code: def test_intersection_name_retention_with_nameless(self, index):
      if isinstance(index, MultiIndex):
          index = index.rename(list(range(index.nlevels)))
      else:
          index = index.rename("foo")
  
      other = np.asarray(index)
  
      result = index.intersection(other)
      assert result.name == index.name
  
      # empty other, same dtype
      result = index.intersection(other[:0])
      assert result.name == index.name
  
      # empty `self`
      result = index[:0].intersection(other)
      assert result.name == index.name
  
imports: from datetime import datetime
  import operator
  import numpy
  import pytest
  from pandas._libs import lib
  from pandas.core.dtypes.cast import find_common_type
  from pandas import CategoricalDtype, CategoricalIndex, DatetimeTZDtype, Index, MultiIndex, PeriodDtype, RangeIndex, Series, Timestamp
  import pandas._testing
  from pandas.api.types import is_signed_integer_dtype, pandas_dtype
label_desc: Use image node_id 10 for calling the TestSetOps obj's underlying member method code with example usage: obj.test_intersection_name_retention_with_nameless(index) without return types