Principles of Teamwork and Project Management

Luis; with all due respect I don't see these as princples for team work.

I agree that these are critical to maximize teamwork. However, these are not absolute. The functionality of a team will improve as respect, union, empathy, tolerance and synergy increases however teamwork is not reliant on fully achieving each.
That being said, in order to function a team must have a common goal and motivation to achieve that goal. This is the fundamental basis of teamwork - no goal, no need for a team! Respect, union, empathy, tolerance and synergy gets you nothing unless it is focused on a result.

I have a slightly different take. I think in terms of assigning a team to a goal - the goal comes first, the goal is the reason for, the essence of, a team.
A team is a group of people with a common goal otherwise its just a group of people.
Respect,Union, Empathy, Tolerance and Synergy are the tools the team uses to effectively achieve that goal resulting in 'teamwork'. The greater the R, U, E, T and S the more effective the team becomes.The team leader's job is to maximize R, U, E, T and S.

The fundamental requirements for team success (I'm not ready to assign the term "principle" depending how its defined)
Common goal
Leadership
your R, U, E T and S

However, recognizing this as a international forum with numerous cultures and conventions I would suggest that the terms be defined. I still see R, U, T, E and S as a function of leadership.

Are we getting closer?

Groups of individuals are assembled to achieve a goal, a deliverable. The group only becomes a 'team' once they recognize that they have to work together to effectively achieve that deliverable and organize themselves accordingly. Until that happens they remain a group of individuals.
So, there are two primary objectives: 1) become a team, and 2) deliver the intended product. There is a lot of focus on the second objective and little on the first.
Two scenarios: 1) a designated experienced team leader is put in place to lead the individuals towards 'teammanship', or 2) the group is trained in the craft of 'teammanship' as a first step. Scenario 1) is the most common and provides more comfort to upper management. Scenario 2) is most likely more effective in the long run however may have a slower start on the deliverable. Scenario 2) also fits in with the concept of self-management and 'discovered leader'.
How do we get there? By recognizing the importance and nuances of working as a team and training people on teamwork concepts.