Is a Red Dwarf the smallest official classification of a star?

I know of the Brown Dwarf but that is not a star! What is the smallest classification not the smallest observed? Could you compare to the mass of Jupiter or the Sun please.Is a Red Dwarf the smallest official classification of a star?White dwarf is similar to Earth's size. That's how our Sun is going to end, after it grows to a Red giant.

White dwarfs are extremely hot, as they are the core left from a star that is not massive enough to blow itself up into a supernova and then turn into a black hole or something. Chandrasekhar discovered this limit to be 1.4 times the mass of the Sun. This is appropriately known as the "Chandrasekhar limit."Is a Red Dwarf the smallest official classification of a star?A brown dwarf has enough mass to initiate nuclear fusion, so it is a star, not planet. A brown dwarf just does not have enough mass to sustain nuclear fusion.Only STARS have enough mass to initiate nuclear fusion. BY DEFINITION, that makes a brown dwarf a star.