Redeemability is not a detail of paperwork. It is the cause of nearly everything a beginner notices about owning one of these funds, and it is what separates a mutual fund from the two things it is most often compared with. Because your counterparty is the fund rather than another investor, there is no market of buyers and sellers setting a price through the day. The SEC states the mechanism directly: investors buy and sell mutual fund shares from or to the fund itself, or through a broker or investment adviser, rather than, in the SEC's words, "from/to other investors on national securities markets."
Three consequences follow, and all three are ordinary experiences that puzzle people who do not know the cause. First, pricing is forward-looking. Because the fund must value everything it holds before it can know what a share is worth, orders are priced at the next net asset value computed after the order is received, normally once each business day after markets close. A mutual fund order therefore cannot be placed at a price you have already seen. Second, the fund's share count is not fixed. It issues new shares to new money and extinguishes shares when investors redeem, so the fund grows and shrinks with demand. Third, redemptions have to be funded. If enough investors leave at once, the manager may have to sell holdings to raise the cash, which is a transaction the remaining shareholders bear rather than the departing ones. A closed-end fund is the direct contrast on all three points: it issues a fixed number of shares, does not redeem them, and leaves shareholders to trade with each other on an exchange, where the price can drift above or below the value of the underlying holdings.
The distinction that saves the most confusion is that a mutual fund is a container rather than an investment strategy. The SEC groups funds by what they hold, naming stock funds, bond funds (also called income funds), money market funds, and target-date funds that hold a mix scheduled to change over time. But "index fund" is not a fourth category alongside those; it describes a strategy that a mutual fund or an exchange-traded fund can equally follow. A total-market index fund sold as a mutual fund and the same index tracked in an exchange-traded fund hold the same companies. The container affects how you trade it and how it is taxed; it does not determine what is inside. Cost is a third, separate question, measured by the fund's expense ratio, and it varies enormously within every one of these categories.
One point on this page is genuinely safety-critical rather than merely useful, because it turns on a pair of names that differ by a single word. A money market fund is a mutual fund, and the SEC is explicit about what that means: "Money invested in a money market fund is not guaranteed by the FDIC like bank accounts are. There is therefore a risk you may lose some or all of the money you invested." A money market account is a deposit at a bank or credit union and carries federal deposit insurance. The two are commonly offered by the same institution, sit next to each other on the same screens, and are not the same kind of thing at all.