Horrible cheating husband

Alice

So basically my husband is abusive and a cheat. We are in the slow process of separating. We have children - he has nowhere to go so hes staying away at weekends until he can find something more permanent. He wont admit to cheating despite all the evidence i have (condoms missing, viagra in his bag after he stayed at a hotel, changes in his behaviour etc) and when i asked him where hed stayed this weekend he was vague. I then asked specifically which hotel he stayed at and he refused to tell me. To me it just adds to the lies and secrets but he basically says that Im should not even be bothered anymore and he wont tell me because i might turn up there next week - why would it matter if i did given that he says hes doing nothing wrong! Am I wrong for expecting an answer or is he just gaslighting me to hide things?