The document discusses two pharyngeal spaces: 1) The retropharyngeal space is located behind the pharynx, bounded anteriorly by the buccopharyngeal fascia and posteriorly by the prevertebral fascia. It contains retropharyngeal lymph nodes, vessels, and nerves and can develop abscesses from infected lymph nodes. 2) The lateral pharyngeal space is located on the sides of the pharynx, bounded medially by the pharynx and posterolaterally by the parotid gland. It contains the maxillary nerve and branches of the maxillary artery and can develop pus collections known as Ludwig's angina.