The Justice Minister has described Ashling Murphy’s death as "everyone woman’s worst nightmare".
It comes as women’s groups remind people that random attacks are very rare.
Justice Minister Helen McEntee describing what many people are feeling today, in the wake of Ashling Murphy’s death.
The 23 year old teacher was killed in a random attack during a run along the Grand Canal in Tullamore, Co Offaly.
Criminologist John O’Keefe says what happened to Ashling is extremely rare.
In a statement, Women’s Aid are reminding people that women are not afraid of the dark or being alone but they say meeting a male attacker in those circumstances is the problem.
Minister McEntee said women shouldn’t be the only group taking steps to create a safer society and that men must take action also.
A vigil will take place outside the Dáil at 4pm tomorrow in memory of Ashling Murphy.
It's being organised by the National Women's Council of Ireland.
Those going are encouraged to bring flowers and candles.
