Intergalactic space is primarily composed of the intergalactic medium (IGM), mainly hydrogen and helium, which is highly ionized but also contains non-ionized clouds. Discussions highlight the existence of superheated gas surrounding galaxies, potentially contributing significantly to dark matter, and the implications of this gas on baryon fractions in galaxy clusters. The baryon fraction in clusters is debated, with some estimates suggesting that 30-40% of baryons exist outside these clusters, challenging previous assumptions. The origin of the high temperatures in the IGM and its potential contribution to the diffuse X-ray background remain uncertain, with recent studies indicating that most of the X-ray background is accounted for by known astronomical objects. Overall, the IGM's role and composition continue to be areas of active research and discussion.