Definitions of neglect:

• noun:   the state of something that has been unused and neglected

  Example: "The house was in a terrible state of neglect"

• noun:   willful lack of care and attention
• noun:   the trait of neglecting responsibilities and lacking concern
• noun:   lack of attention and due care
• noun:   failure to act with the prudence that a reasonable person would exercise under the same circumstances
• verb:   leave undone or leave out
• verb:   fail to attend to

  Example: "He neglects his children"

• verb:   give little or no attention to
• verb:   fail to do something; leave something undone