General New York Municipal Money Market Fund (First Prospectus Summary) | General New York Municipal Money Market Fund

Fund Summary

Investment Objective

The fund seeks to maximize current income exempt from federal, New York state
and New York city income taxes, to the extent consistent with the preservation
of capital and the maintenance of liquidity.

Fees and Expenses

This table describes the fees and expenses that you may pay if you buy and hold
shares of the fund.

Annual Fund Operating Expenses (expenses that you pay each year as a percentage of the value of your investment)

Annual Fund Operating Expenses	General New York Municipal Money Market Fund Class A
Management fees	0.50%
Other expenses (including shareholder services fees)	0.17%
Total annual fund operating expenses	0.67%

Example

The Example is intended to help you compare the cost of investing in the fund
with the cost of investing in other mutual funds. The Example assumes that you
invest $10,000 in the fund for the time periods indicated and then redeem all
of your shares at the end of those periods. The Example also assumes that your
investment has a 5% return each year and that the fund's operating expenses
remain the same. Although your actual costs may be higher or lower, based on
these assumptions your costs would be:

Expense Example (USD $)	Expense Example, With Redemption, 1 Year	Expense Example, With Redemption, 3 Years	Expense Example, With Redemption, 5 Years	Expense Example, With Redemption, 10 Years
General New York Municipal Money Market Fund Class A	68	214	373	835

Principal Investment Strategy

As a money market fund, the fund is subject to maturity, quality, liquidity, and
diversification requirements of Rule 2a-7 under the Investment Company Act of
1940, as amended, which are designed to help money market funds maintain a
stable share price. To pursue its goal, the fund normally invests substantially
all of its assets in short-term, high quality municipal obligations that provide
income exempt from federal, New York state and New York city income taxes.
The fund also may invest in high quality, short-term structured notes, which are
derivative instruments whose value is tied to underlying municipal obligations.

Although the fund seeks to provide income exempt from federal, New York state
and New York city income taxes, the fund may invest temporarily in high quality,
taxable money market instruments and/or municipal obligations that pay income
exempt only from federal income tax, including when the portfolio manager
believes acceptable New York municipal obligations are not available for
investment. In addition, interest from some of the fund's holdings may be
subject to the federal alternative minimum tax.

Principal Risks

An investment in the fund is not insured or guaranteed by the Federal Deposit
Insurance Corporation (FDIC) or any other government agency. Although the
fund seeks to preserve the value of your investment at $1.00 per share, it is
possible to lose money by investing in the fund.

The fund's yield will fluctuate as the short-term securities in its portfolio
mature and the proceeds are reinvested in securities with different interest
rates. Additionally, while the fund has maintained a constant share price since
inception, and will continue to try to do so, neither The Dreyfus Corporation
nor its affiliates are required to make a capital infusion, enter into a capital
support agreement or take other actions to prevent the fund's share price from
falling below $1.00. The following are the principal risks that could reduce the
fund's income level and/or share price:
  
o Interest rate risk. This risk refers to the decline in the prices of fixed-income
securities that may accompany a rise in the overall level of interest rates. A
sharp and unexpected rise in interest rates could cause a money market
fund's share price to drop below a dollar.

o Credit risk. Failure of an issuer to make timely interest or principal payments,
or a decline or perception of a decline in the credit quality of a security, can
cause the security's price to fall, potentially lowering the fund's share price.
The credit quality of the securities held by the fund can change rapidly in
certain market environments, and the default of a single holding could have
the potential to cause significant deterioration of the fund's net asset value.

o Liquidity risk. When there is little or no active trading market for specific
types of securities, it can become more difficult to sell the securities at or
near their perceived value. In such a market, the value of such securities
may fall dramatically, potentially lowering the fund's share price, even during
periods of declining interest rates. Also, during such periods, redemptions by
a few large investors in the fund may have a significant adverse effect on the
fund's net asset value and remaining fund shareholders.

o Tax risk. To be tax-exempt, municipal obligations generally must meet certain
regulatory requirements. If any such municipal obligation fails to meet these
regulatory requirements, the interest received by the fund from its investment
in such obligations and distributed to fund shareholders will be taxable.

o Structured notes risk. Structured notes, a type of derivative instrument, can
be volatile, and the possibility of default by the financial institution or
counterparty may be greater for these securities than for other types of money
market instruments. Structured notes typically are purchased in privately
negotiated transactions from financial institutions and, thus, an active trading
market for instruments may not exist.

o State-specific risk. The fund is subject to the risk that New York's economy,
and the revenues underlying its municipal obligations, may decline. Investing
primarily in a single state makes the fund more sensitive to risks specific to
the state and may magnify other risks.

o Non-diversification risk. The fund is non-diversified, which means that a
relatively high percentage of the fund's assets may be invested in a limited
number of issuers. Therefore, the fund's performance may be more vulnerable
to changes in the market value of a single issuer or a group of issuers and more
susceptible to risks associated with a single economic, political or regulatory
occurrence than a diversified fund.

Performance

The following bar chart and table provide some indication of the risks of investing
in the fund. The table shows the average annual total returns of the fund's Class A
shares over time. The fund's past performance (before and after taxes) is no guarantee
of future results. More recent performance information may be available at www.dreyfus.com.

The bar chart shows changes in the performance of the fund's Class A shares from year to year.

Year-by-Year Total Returns as of 12/31 each year (%)

Best Quarter             
Q3, 2007: 0.78%          

Worst Quarter            
Q3, 2011: 0.00%

Average Annual Total Returns as of 12/31/11

Average Annual Total Returns	Average Annual Returns, 1 Year	Average Annual Returns, 5 Years	Average Annual Returns, 10 Years
General New York Municipal Money Market Fund Class A	none	1.06%	1.18%

For the fund's current yield, call toll free 1-800-DREYFUS (inside the U.S. only).