June 20, 1994
GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND
SUPPLEMENT TO PROSPECTUS
DATED DECEMBER 1, 1993
The following information supplements and should be read in
conjunction with the section of the Fund's Prospectus entitled
"Management of the Fund."
The Fund's manager, The Dreyfus Corporation ("Dreyfus"), has entered
into an Agreement and Plan of Merger (the "Merger Agreement") providing
for the merger of Dreyfus with a subsidiary of Mellon Bank Corporation
("Mellon").
Following the merger, it is planned that Dreyfus will be a direct
subsidiary of Mellon Bank, N.A. Closing of this merger is subject to a
number of contingencies, including receipt of certain regulatory approvals
and approvals of the stockholders of Dreyfus and of Mellon. The merger is
expected to occur in August 1994, but could occur significantly later.
As a result of regulatory requirements and the terms of the Merger
Agreement, Dreyfus will seek various approvals from the Fund's
shareholders before completion of the merger. Proxy materials, approved
by the Fund's Board, recently have been mailed to Fund shareholders.
Effective June 1, 1994, the Fund's Service Plan has been terminated.
The Fund will continue to bear directly the costs of preparing and printing
prospectuses and statements of additional information used for regulatory
purposes and for distribution to existing shareholders. The Dreyfus
Corporation may pay Dreyfus Service Corporation for shareholder and
distribution services from The Dreyfus Corporation's assets, including
past profits but not including the management fee paid by the Fund.
Dreyfus Service Corporation may use part or all of such payments to pay
securities dealers or others in respect of these services.
The following information supplements and supersedes information
contained in the section in the Fund's Prospectus entitled "Redemption of
(CONTINUED ON REVERSE SIDE)
Fund Shares __ Redemption by Wire or Telephone" and describes a new
telephone redemption privilege.
WIRE REDEMPTION PRIVILEGE - An investor may request by wire or
telephone that redemption proceeds (minimum $1,000) be wired to the
investor's account at a bank which is a member of the Federal Reserve
System, or a correspondent bank if the investor's bank is not a member. An
investor may direct that redemption proceeds be paid by check (maximum
$150,000 per day) made out to the owners of record and mailed to the
investor's address. Redemption proceeds of less than $1,000 will be paid
automatically by check. Holders of jointly registered Fund or bank
accounts may have redemption proceeds of only up to $250,000 wired
within any 30-day period. The Fund reserves the right to refuse any
redemption request, including requests made shortly after a change of
address, and may limit the amount involved or the number of such
requests.
TELEPHONE REDEMPTION PRIVILEGE __ An investor may redeem Fund shares
(maximum $150,000 per day) by telephone if the investor has checked the
appropriate box on the Fund's Account Application or has filed a
Shareholder Services Form with the Transfer Agent. The redemption
proceeds will be paid by check and mailed to the investor's address. An
investor may telephone redemption instructions by calling 1-800-221-
4060 or, if the investor is calling from overseas, call 1-401-455-3306.
The Fund reserves the right to refuse any request made by telephone,
including requests made shortly after a change of address, and may limit
the amount involved or the number of telephone redemption requests. This
Privilege may be modified or terminated at any time by the Transfer Agent
or the Fund. Shares for which certificates have been issued are not
eligible for this Privilege.
573stkr062094
