The example labels in training set you give is a multiclass traininset
(one and only one class per sample). Use a multi-label set of training
labels to make the LabelBinarizer switch to the 1 hot encoding:

In [69]: y_train = (['New York', 'London'], ['London'])

In [70]: Y_indicator = LabelBinarizer().fit(y_train).transform(y_train)

In [71]: Y_indicator
Out[71]:
array([[ 1.,  1.],
       [ 1.,  0.]])

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