Rule 497(j)
                                             Reg. No. 33-23439
                                             Reg. No. 33-22089    
                              

Pursuant to Rule 497 (j) promulgated under the Securities Act of
1933, the Registrant, Dean Witter Select Municipal Trust,
Maryland Portfolio Series 13 and Michigan Portfolio Series 4,
hereby certifies as follows:

1)   the form of prospectus that would have been filed under
     paragraph (b) of Rule 497 does not differ from that
     contained in the most recent amendment to the registration
     statement, and

2)   the text of the said amendment to the registration statement
     has been filed electronically.


                    DEAN WITTER SELECT MUNICIPAL TRUST,
                    MARYLAND PORTFOLIO SERIES 13
                    MICHIGAN PORTFOLIO SERIES 4
                              
                    By:  Dean Witter Reynolds Inc.
                         (Depositor)


                                                   
                         Thomas Hines
                         Authorized Signatory



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