Should homeless individuals, that have refused available shelter or housing, be allowed to sleep or encamp on public property?

there should be options for the homeless individual to rest in, as simple as an undercover area where they don't receive help but they are publicly allowed to be there.

A complicated topic. Its possible that they simply cannot afford said shelter or housing. If that's the case then there should be more support programs to allow them to actually get shelter and housing in time. It may be a good idea to have more communal shelters that offer some kind of labour for their stay. Which would allow them to feed and take care of themselves. For those who have completely given up something like youth workers should help to see if they can be of assistance. If there's knowhere they can go and knowone to help then they should be able to sleep somewhere so…  Read more long as its not disruptive to the flow of traffic as they say and should not be criminalised. Maybe if they decide to sleep in someone's backyard, try and squat in someone's house without permission should it be criminalised at all. As we all have human rights. If anything they should be helped as an effort to reduce the homeless population.

Yes. It's more nuanced... We need to know why they have refused? Do they feel unsafe in said shelter or housing?

Public encampments are a symptom of a failed system; the answer is not criminalisation, but a comprehensive ‘Housing Plus’ mandate. Government must build low‑barrier transitional shelters that lead directly into permanent housing, while simultaneously providing integrated job‑placement, addiction treatment, and mental health services so that no one is left behind.

There maybe a reason why they refused to live in a house, so therefore, we should give that homeless person a house that addresses most of their needs and complaints.

No, granted that the shelter/housing is provided in an area close to, or familiar with the individual, and not far away.

Yes but providing more than housing is what’s needed. People experiencing or at risk of homelessness are often struggling with mental and physical illness which may contribute to why they refuse housing, so they need to be supported in so many other ways, and they should be able to sleep on the streets legally and safely.