No. Bitcoin Core is software that participates in the chain’s network. They are responsible for maintaining the chain, broadcasting transactions along other roles. Everyone and anyone can run one and is encouraged to do so.
“Owning” bitcoin means that you have the keys over some amount of bitcoin. This might be on lightning or the main chain itself. You don’t have to run a node to use bitcoin, and the nodes cannot take your bitcoin. They only maintain the list of whose bitcoin belongs to who, effectively.
But bitcoin core is also considered a wallet,right?
Yes. Bitcoin Core has an optional module that includes a wallet. The wallet can be moved to other apps and uses the same technology as other wallets.
Are all blitcoin/block explorer considered mainchain?
They will say on them which chain they’re displaying. Multiple explorers support displaying the bitcoin main chain (aka timechain) so they are multiple people/companies views of the same chain.
Mainchain?which of these chain is the mainchain?
bitcoinexplorer.com
mempool.space
blockchain.info
coin.cz
live.blockcypher.com
These all support looking at the bitcoin main chain. I recommend mempool.space and blockstream.info.
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