These are shoes where the foot has been supported all around the shoe front, rear and on both sides and can get an ankle strap. The sole is a one part type with a heel of almost any dimension using a high heel pumps frequently known as a stiletto.
Open toe shoe
This is essentially a pump shoe described above in which the front is cut away to expose each the feet. When this is completed to only expose the big toe or middle feet using a more compact cutaway it would be known as a peep hole shoe.
This is any kind of lace footwear where the there is not any gap below the only meaning the full duration of the base of the shoe makes contact with the floor.
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This type of shoe is one that has a heel but does not have any support around the ankle and rear of the shoe or another way to describe it is as a heeled flip flop. These may be completely closed in the front or cut away as an open toe or peep hole shoe. ( More on this: page )
This can be a flat or heeled shoe which like a pump encloses the foot all the way around it. Front of the shoe is square or very slightly rounded with a cross strap running across the foot central involving the ankle and toes.
These are shoes that fully enclose the foot and may come in flat, wedge and heeled styles. There are various types with the shortest being the shoulder high boot that reaches just above the ankle then it's the shoulder high boot that stops before reaching the knee and the Thigh high which covers the leg all the way to the thigh. Two lesser known boots are the crotch boots which reach all the way up the leg to the crotch and the Chap boot that's a modified crotch boot which has a piece of substance which reaches the hips and secured around the waist with a belt.