peer to peer
A purely peer-to-peer version of electronic cash would allow online payments to be sent directly from one party to another without going through a financial institution. - Satoshi Nakamoto, Bitcoin Whitepaper
network
Thanks to the dense connectivity at the center of the Bitcoin network, propagation from the first node the transaction reaches to all other nodes is very fast, requiring less than 1 second for global awareness.
bitcoin
We define an electronic coin as a chain of digital signatures. This chain leads all the way back to the blocks in which each of the Satoshi tokens being used in the transaction was first made accessible in the form of a coinbase reward.