An ______________ is an exterior perimeter building of a group other than H having direct access to a covered or open mall building.

The term "anchor building" refers to a significant commercial structure located at the exterior perimeter of a shopping mall or similar complex, which plays a critical role in attracting consumers to the mall's various retail spaces. These buildings often contain larger stores or businesses that draw foot traffic, facilitating access to smaller stores and enhancing the overall commercial viability of the area.

In the context of the question, the description specifically mentions that the building has "direct access to a covered or open mall building." This aligns perfectly with the function of anchor buildings, which typically include department stores or major retail chains that are strategically placed to enhance the mall's accessibility and appeal.

The other answer choices do not capture the specific characteristics of the described structure adequately. A covered mall building refers specifically to the enclosed retail space rather than an exterior perimeter structure. A detached building may be any standalone structure and does not inherently suggest the critical role in accessing a mall. A dwelling building typically pertains to residential units, which is not relevant in a commercial context. Thus, the appropriate term that fits the description in the question is "anchor building."