Data Warehouse - Slowly Changing Dimensions with Many to Many Relationships As an example, let's say I have a fact table with two dimensions and one measure

FactMoney table



ProjectKey int

PersonKey int

CashAmount money



The two dimensions are defined like this:

DimProject (a type 0 dimension - i.e. static)



ProjectKey int

ProjectName varchar(50)



DimPerson (a type 2 slowly changing dimension)



PersonKey int

PersonNaturalKey int

PersonName varchar(50)

EffectiveStartDate datetime

EffectiveEndDate datetime

IsCurrent bit



Pretty straightforward so far. Now I'll introduce a Person Category concept.

DimCategory



CategoryKey int

CategoryName varchar(50)



And build an M2M relationship between DimPerson and DimCategory

BridgePersonCategory



PersonKey int

CategoryKey int



So - people can have 1..n categories.

My problem is - as Person is a slowly changing dimension, when a person's name changes, we add a new person row and update our effective dates and is current flags, no big deal. 

But what do we do with the person's categories? Do we need to add more rows to the bridge table every time a new person version pops up? 

And as a corollary, if a person's categories change, does that mean we need to create a new row in the person table?

(please note I've also asked this question at stack-O and as directed by the first commenter, now posted this question here.)
Does DimCategory have any Type 2 attributes that you are tracking?

If it is not, then you would only need to add a new record to your bridge table based on whenever a Type 2 attribute in DimPerson changes since you will be inserting a new record in DimPerson with a new surrogate key. You would then need to add or update your bridge table with this new surrogate key for whichever categories are assigned. 

However, if an attribute on DimCategory changes, you would just update that record and there would be no change in the surrogate key so the bridge table would be unchanged.

Now if you want to track things like when a Category assignment to a Person changes as a Type 2 attribute, then you would need to build the Effective Start and End Dates in your bridge table to be able to tell at what point in time a Person's Categories change.