MADISON, Wis. -- Wednesday marks one week since Brittany Zimmermann's fiancé found her slain in their West Doty Street apartment near the University of Wisconsin-Madison campus.

The downtown Madison neighborhood is still on edge, and Madison investigators said they have no new details in the case to release, WISC-TV reported.

Despite the increased police presence in the area, many living downtown said they are still scared.

"With all the students and people around, you just always felt safe. And now it's just a whole other story and you have to be cautious," said Amanda Seeberger, who lives in the neighborhood.

Police have brought several people in for questioning but haven't named a suspect in the homicide investigation.

Zimmermann's family has set up a scholarship fund in her name so people in the Madison are will remember her.

Zimmermann's funeral was held Monday morning at St. Andrew's Church in Stratford. During the service, the church was filled with family and friends. Zimmermann was a UW-Madison junior and her family said they would welcome any students who wanted to attend the services. The university provided a free bus for those that wanted to make the trip, WISC-TV reported.

She was buried near her home in Marshfield.