MORGAN STANLEY DEAN WITTER BEST IDEAS PORTFOLIO JANUARY 1998, 497J, 1998-01-21

MORGAN STANLEY DEAN WITTER BEST IDEAS PORTFOLIO JANUARY 1998
497J, 1998-01-21

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                (Letterhead of Dean Witter Reynolds, Inc.)










                                        Rule 497(j)
                                        Reg. No. 333-42461


Pursuant to Rule 497 (j) promulgated under the Securities Act of 1933, the
Registrant, Dean Witter Select Equity Trust, Morgan Stanley Dean Witter
Competitive Edge Best Ideas Portfolio January 1998 hereby certifies as
follows:

1)   the form of the 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 EQUITY TRUST,
                         MORGAN STANLEY DEAN WITTER
                         COMPETITIVE EDGE BEST IDEAS
                         PORTFOLIO JANUARY 1998
                         (Registrant)

                         By:  Dean Witter Reynolds Inc.


                              Thomas Hines/s/
                              Thomas Hines
                              Authorized Signatory


Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C. 20549



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