def get_connections(network, user):
    """
    Returns a list of all the connections that user has.
    Arguments:
    network: the gamer network data structure.
    user:    a string containing the name of the user.
    Returns:
    A list of all connections the user has.
    - If the user has no connections, return an empty list.
    - If the user is not in network, return None.
    """
    if user not in network or network[user][0] == []:
        return None
    return network[user][0]