Hello I am a 35 year old male me and my girlfriend of 3 years broke up ,she said wants her space ,she is in college now she is also seeing other people but she also tells me me on a basis that she loves me,but wants to see other men she doesn't want to be in a relationship with me, I go to house and spend the night and sleep in the same bed,but she won't have sex with me anymore.I love her so much I can't live this way anymore.

You must accept that it is time to move on.

Sounds like she cares for you a great deal but she doesn't love you.

What are the chances of just being friends?

Some relationships end in friendship and the people involved can be a great support to each other.

I recommend you to leave the house and get your own place, is this possible?

Right now this situation is terrible for you. You need to let her feel the void ,
How can she love you if she wants relationships with other men. That is not love.

Go and get strong again, get yourself back, don't answer her calls etc,
There are many stories here about 'space', go and read them all.

Accept that she has moved to another level, and leave her alone and stop being around her so the healing can begin.

She is messing you about. If she had no intention of seeing anyone else it would be different. But as she is, then you really need to get rid of her because you're the one getting hurt. It sounds like she only cares about herself, so do the same.

Be cooler mate. As you are sleeping in same bed she knows she can have you and that is too easy for her. Get out.. change your look new clothes and show her you are getting on. This will be a shock to her. Worked for me