Text to Email Relay
Text messages are converted to an email and sent to your email inbox. You reply to the email to text back.
The outside message initiator has a fully threaded text message conversation. This is a fancy way to say that their end of the conversation is like any text message between cell phones.
Your end of the conversation is a series of related emails.
Your cannot initiate a new text message. You would need our text to email + web or text to smart phone app.