CATWOMAN

Selina Kyle's early life was defined by tragedy. When she was just a girl, her brutalized mother Maria committed suicide and her violent father Brian drank himself to death soon after. Separated from her younger sister Magdalena and remanded to the Sprang Hall Juvenile Detention Center, an abusive state home for orphaned or delinquent girls, she opted instead to take her chances on the streets of Gotham City. Amid the crime and corruption of the poverty-stricken East End district, she survived through petty theft. Sharp wits and an amazing natural skill as a gymnast led to her becoming the slickest cat burglar the Gotham City Police Department had ever dealt with. To protect herself, she studied martial arts. She would have continued to rob with impunity if not for the Batman. Spying the Caped Crusader from her window on one of his first outings, she watched him in action and was suitably inspired to take up her own costume when prowling the Gotham night. Although originally introduced as an equal opponent for Batman, Catwoman's status as hero or villain is ambiguous; she has her own moral code (she abhors killing, though did eventually kill Black Mask) and has occasionally teamed up with Batman and other heroes against greater threats, even saving the lives of the entire Justice League on one occasion. She represents a gray area in Batman's otherwise black and white life where the line between good and evil blurs, and his attraction to her stems from this perception that, in her way, she's kind of a female version of himself: another dark, beautiful creature that prowls the night. Catwoman, in her first appearance, wore no costume or disguise at all, and it was not until her next appearance that she donned a mask, which was a theatrically face-covering cat-mask that had the appearance of a real cat, rather than a more stylized face mask seen in her later incarnations. Later, she wore a dress with a hood that came with ears, and still later, a bodysuit with attached boots and either a domino or glasses-mask.
While not considered superhuman, she is easily the fastest non-metahuman around. She literally moves like a cat! Selina is a gifted and accomplished athlete, with heightened acrobatic prowess. Catwoman has an good affinity for cats. Feline species tend to flock to her, accepting her almost immediately, recognizing somehow that she is not an enemy but a friend. This allows her to calm injured cats, train them, befriend them, and form strong bonds with them. These animals will even sometimes come to her defense when she is attacked. Catwoman possesses the peak human strength level of a woman her age, size and weight, in addition who engages in intensive regular exercise and combat training.

BATMAN

Batman is the superhero protector of Gotham City, a man dressed like a bat who fights against evil and strikes terror into the hearts of criminals everywhere. In his secret identity he is Bruce Wayne, billionaire industrialist and notorious playboy. Although he has no superhuman powers, he is one of the world's smartest men and greatest fighters. His physical prowess and technical ingenuity make him an incredibly dangerous opponent. He is also a founding member of the Justice League and the Outsiders.
Bruce Wayne swore an oath to rid the city of the evil that had taken his parents' lives. He spent his youth traveling the world, training himself to intellectual and physical perfection and learning a variety of crime-fighting skills, including chemistry, criminology, forensics, martial arts, gymnastics, disguise, and escape artistry.
Batman's presence in Gotham City generated a new breed of criminals, no longer the simple thugs and gangsters involved in Gotham Organized Crime, but more dynamic personalities.
Batman, in most of his incarnations, is a dark and grim hero with a personal vendetta against criminals.
Traumatized by the death of his parents, Batman has sworn to rid Gotham from the criminal elements that took his parents from him. He is very paranoid and obsessive, which often makes it difficult for him to trust other people that aren't Alfred, the Robins, or the Batgirls.

Despite this, Batman has proved to have a great love for humanity, which was instilled by his parents. His father was a doctor, while his mother was a crusader against child abuse. Indeed, Batman's oath of vengeance is tempered with the greater ideal of justice. He refrains from killing, as he feels this would not make him any better than the criminals he fights. He is also a very prominent member of the Justice League and the founder of the Outsiders.

To protect his secret identity, Batman has constructed a fake persona he can use in his civilian identity. To the world at large, Bruce Wayne is a self-absorbed, irresponsible playboy and philanthropist. Only his closest allies know that this attitude is just an act.

The Bruce Wayne/playboy aspect of his character is a facade, while the masked and particularly dark, grim vigilante is marked as the "true" man.