VERIFIED SOLUTION i

MapInfo Pro - how to permanently save a table after applying a filter in the browser

Product Feature: Table Modifications
 
1. After applying the Sort via the Sort menu button embedded in the Browser view, choose 'Create a Query from the Browser Contents...' from the Sort drop down list in the browser window.

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2. Make sure that 'Open a new browser for this query' checkbox is checked as illustrated in the screenshot below. 
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3. Go to HOME > Save > Save Copy As > save a copy of the query created in step 2 above
4. The table which is saved should retain the sort/filter which was applied in step 1
UPDATED:  April 10, 2017