My guess is that you're looking to set a definition query, which creates a filtered view of your data. The features that meet the query criteria are shown on the map and table, but all the features remain in the feature class.
Alternatively, you may want to change the layer symbology to only display the relevant points, keeping everything in the attribute table, but only displaying the features you want.
You will not be able to delete a geographic feature and keep the table record, however. edit: reading through your link, it appears it may be possible, but my opinion is that it's a hacky way to organize your data.