all; every single ~ (no exceptions)
The pattern という emphasizes that something applies to every single item without exception.
When という follows a noun and is then followed by another noun (often the same noun repeated, or a related one), it means 'every single' or 'all without exception.' It stresses that there is no case that does not apply. For example, 家という家 means 'every house, without a single exception.' This is a strong, emphatic expression, often used with negative statements or with verbs like 'ない' (there is no...). It is used in both spoken and written Japanese for emphasis, but it is more characteristic of formal or literary style.
Be careful not to confuse this with the common という that means 'called' or 'that says.' In this pattern, という is directly attached to a noun and followed by another noun, and the meaning is about totality, not naming or quoting. For example, 人という人 means 'every single person,' not 'a person called...'.