Bombay cat personality:
1. Gentle and affectionate. Bombay cats resemble small black panthers, but they are gentle, calm, and affectionate, and love to be close to people.
2. Intelligent and lively. Bombay cats are intelligent, quick-witted, curious, and sometimes a little mischievous. They are also excellent hunters.
3. Possesses self-control. Bombay cats are active and playful, but they have self-control and can get along well with dog owners.
4. Easy to train. Bombay cats are easy to train and love playing fetch. 
Bombay cat training methods:
1. Inducement. You can use food, items, or the owner's actions to entice the Bombay cat to perform a certain action.
2. Rewards. Reinforce correct behaviors in your Bombay cat by rewarding them with food, praise, and affection. Remember to reward them promptly.
3. Punishment. This includes scolding, threatening, hitting, etc. Punishment should be used promptly once bad habits are discovered in the Bombay cat.
