diff --git a/differences b/differences
index b5663c8836fa4e00b1ed0698e75f075423764515..d0f834ab0b8bb356693571f47ceb1ce9a89e9f6c 100644
--- a/differences
+++ b/differences
@@ -1,19 +1,19 @@
-Significant differences between NIFTy nightly and nifty2go
-==========================================================
+Significant differences between NIFTy3 and nifty4
+=================================================
 
-1) Field domains in nifty2go are stored in DomainTuple objects, which makes
+1) Field domains in nifty4 are stored in DomainTuple objects, which makes
    comparisons between domains and computation of axis indices etc. much simpler
    and more efficient.
    No impact on the user ... these objects are generated whenever needed and
    have all necessary functions to make them look like tuples of spaces.
 
-2) In nifty2go an operator's domain and target refer to the _full_ domains of
+2) In nifty4 an operator's domain and target refer to the _full_ domains of
    the input and output fields read/written by times(), adjoint_times() etc.
    In NIFTy nightly, domain and target only refer to the (sub-)domain on
    which the operator actually acts. This leads to complications like the need
    for the "default_spaces" argument in the operator constructor and the
    "spaces" keywords in all operator calls.
-   Advantages of the nifty2go approach:
+   Advantages of the nifty4 approach:
     - less error-prone and easier to understand; less code overall
     - operators have more knowledge and may tune themselves better
     - difficulties with the design of ComposedOperator (issue 152) resolve
@@ -25,13 +25,13 @@ Significant differences between NIFTy nightly and nifty2go
       However, I have not found any such situation in the current code base, so
       it appears to be rare.
 
-3) nifty2go uses one of two different "data_object" modules for array
+3) nifty4 uses one of two different "data_object" modules for array
    storage instead of D2O.
    A "data_object" module consists of a class called "data_object" which
    provides a subset of the numpy.ndarray interface, plus a few additional
    functions for manipulating these data objects.
    If no MPI support is found on the system, or if a computation is run on a
-   single task, nifty2go automatically loads a minimalistic "data_object"
+   single task, nifty4 automatically loads a minimalistic "data_object"
    module where the data_object class is simply identical to numpy.ndarray.
    The support functions are mostly trivial as well.
    If MPI is required, another module is loaded, which supports parallel
@@ -53,11 +53,11 @@ Significant differences between NIFTy nightly and nifty2go
    kindex -> k_lengths
    (because this is not an index)
 
-6) In nifty2go, PowerSpace is not a harmonic space.
+6) In nifty4, PowerSpace is not a harmonic space.
 
-7) In nifty2go, parallel probing should work (needs systematic testing)
+7) In nifty4, parallel probing should work (needs systematic testing)
 
-9) Many default arguments have been removed in nifty2go, wherever there is no
+9) Many default arguments have been removed in nifty4, wherever there is no
    sensible default (in my opinion). My personal impression is that this has
    actually made the demos more readable, but I'm sure not everyone will agree
    :)
@@ -80,8 +80,16 @@ Significant differences between NIFTy nightly and nifty2go
    more or less always needed).
 
 14) A new approach is used for FFTs along axes that are distributed among
-   MPI tasks. As a consequence, nifty2go works well with the standard version
+   MPI tasks. As a consequence, nifty4 works well with the standard version
    of pyfftw and does not need the MPI-enabled fork.
 
 15) Arithmetic functions working on Fields have been moved from
    basic_arithmetics.py to field.py.
+
+16) Operators can be comined via "*", "+" and "-", resulting in new combined
+   operators.
+
+17) Every operator has the properties ".adjoint" and ".inverse", which return
+   its adjoint and inverse, respectively.
+
+18) Handling of volume factors has been changed completely.