......... oxygen is not very soluble in wort or water.
Er ... oxygen is very soluble in cold water when compared to nitrogen, which is the most common gas in air. Extracting oxygen from the water is how fish and most other forms of water based life manages survive.
If you stick a pan full of water on a cooker ring and start to heat it up you will see, well before the water reaches boiling point, small bubbles on the bottom of the pan. They are bubbles of oxygen that is being being driven out of the water as the water in the pan heats up.
Oxygen depletion will happen in any wort that has been heated which is why with AG brewing the wort needs oxygenating after it has been boiled. With a kit, the same thing can happen if the water added to the brew has been heated.
The yeast provided in a kit is often a bit past its "Use By" date. If the yeast has died then the fermentation process will not start, however this is very rare and with old yeast it can take quite a time for a brew to get going.
However, after a slow start and given enough sugar and oxygen the yeast will reproduce until such time as the sugar is consumed
OR the oxygen is depleted
OR the ABV reaches a point that the yeast cannot tolerate and dies. The yeast (both dead and live cells) forms the trub at the bottom of the FV after fermentation is completed. (The fact that there are plenty of live cells in the trub is proved by using it to make bread instead of throwing it away. It imparts a lovely flavour. :thumb:)
The reason we make a Yeast Starter in brewing is so that we know that there are a sufficient number of yeast cells present to start a brew immediately that the yeast is pitched. This speeds up the fermentation process and reduces the time when the wort is open to infection.
Hope this helps. :thumb: