Is there a relationship between the Noösphere, The Singularity and cyberspace?

According to Pierre Teilhard de Chardin, the Noösphere emerges through and is constituted by the interaction of human minds. The Noösphere has grown in step with the organization of the human mass in relation to itself as it populates the Earth. According to Teilhard, the universe can only move in the direction of more complexity and consciousness, until it reaches the Omega Point.

Now, to my untrained “eye”, this looks a lot like Kurzweil’s Singularity.

Cyberspace is defined by the Oxford dictionary as “the notional environment in which communication over computer networks occurs.” Common usage defines cyberspace more by the social interactions involved rather than its technical implementation.

These two concepts have some commonalities. Could they refer to one and the same phenomenon/a?