In a wide family of "ancient" text editors, by pressing ^T you erased from the cursor up to the beginning of the following word. If we use '_' to represent the cursor, the thing was like this:
want to feel _ at home with vim.
If I now hold <CNTL> down and press <T>, the result will be
want to feel at home with vim.
Many times I have consulted and even tried to systematically study vim's man page. Sometimes I consulted it with profit, sometimes not. This is one of the latter. Greetings.