diff --git a/src/dimindices.jl b/src/dimindices.jl
index ca7900441..f643ad593 100644
--- a/src/dimindices.jl
+++ b/src/dimindices.jl
@@ -23,6 +23,11 @@ for f in (:getindex, :dotview, :view)
         rebuild(di; dims=(dims(di, 1)[i],))
     @eval @propagate_inbounds Base.$f(dg::AbstractDimArrayGenerator, i::Integer) =
         Base.$f(dg, Tuple(CartesianIndices(dg)[i])...)
+    if f == :view
+        @eval @propagate_inbounds Base.$f(A::AbstractDimArrayGenerator) = A
+    else
+        @eval @propagate_inbounds Base.$f(::AbstractDimArrayGenerator) = ()
+    end
 end
 
 @inline Base.permutedims(A::AbstractDimArrayGenerator{<:Any,2}) =
@@ -163,12 +168,12 @@ that defines a `dims` method can be passed in.
 
 - `order`: determines the order of the points, the same as the order of `dims` by default.
 """
-struct DimPoints{T,N,D<:DimTuple,O} <: AbstractDimIndices{T,N,D}
+struct DimPoints{T,N,D<:Tuple{Vararg{Dimension}},O} <: AbstractDimIndices{T,N,D}
     dims::D
     order::O
 end
-DimPoints(dims::DimTuple; order=dims) = DimPoints(dims, order)
-function DimPoints(dims::DimTuple, order::DimTuple)
+DimPoints(dims::Tuple; order=dims) = DimPoints(dims, order)
+function DimPoints(dims::Tuple, order::Tuple)
     order = map(d -> basetypeof(d)(), order)
     T = Tuple{map(eltype, dims)...}
     N = length(dims)
@@ -239,15 +244,15 @@ Using `At` would make sure we only use exact interpolation,
 while `Contains` with sampling of `Intervals` would make sure that
 each values is taken only from an Interval that is present in the lookups.
 """
-struct DimSelectors{T,N,D<:Tuple{Dimension,Vararg{Dimension}},S<:Tuple} <: AbstractDimIndices{T,N,D}
+struct DimSelectors{T,N,D<:Tuple{Vararg{Dimension}},S<:Tuple} <: AbstractDimIndices{T,N,D}
     dims::D
     selectors::S
 end
-function DimSelectors(dims::DimTuple; atol=nothing, selectors=At())
+function DimSelectors(dims::Tuple{Vararg{Dimension}}; atol=nothing, selectors=At())
     s = _format_selectors(dims, selectors, atol)
     DimSelectors(dims, s)
 end
-function DimSelectors(dims::DimTuple, selectors::Tuple)
+function DimSelectors(dims::Tuple{Vararg{Dimension}}, selectors::Tuple)
     T = typeof(map(rebuild, dims, selectors))
     N = length(dims)
     dims = N > 0 ? _format(dims) : dims
diff --git a/test/dimindices.jl b/test/dimindices.jl
index 78e2aa5b0..eb7c834c9 100644
--- a/test/dimindices.jl
+++ b/test/dimindices.jl
@@ -6,6 +6,7 @@ A = zeros(X(4.0:7.0), Y(10.0:12.0))
 
 @testset "DimIndices" begin
     di = @inferred DimIndices(A)
+    @test eltype(di) == Tuple{X{Int64}, Y{Int64}}
     ci = CartesianIndices(A)
     @test @inferred val.(collect(di)) == Tuple.(collect(ci))
     @test A[di] == view(A, di) == A
@@ -40,6 +41,17 @@ A = zeros(X(4.0:7.0), Y(10.0:12.0))
     @test @inferred A1[X=1, Y=1][di[:]] isa DimArray{Float64,1}
     # Indexing with no matching dims is like [] (?)
     @test @inferred view(A1, X=1, Y=1, Ti=1)[di[:]] == 0.0
+
+    @testset "zero dimensional" begin
+        di0 = DimIndices(())
+        @test di0[] == ()
+        @test view(di0) == di0
+        @test first(di0) == ()
+        @test eltype(di0) == Tuple{}
+        @test ndims(di0) == 0
+        @test dims(di0) == ()
+        @test size(di0) == ()
+    end
 end
 
 @testset "DimPoints" begin
@@ -53,6 +65,17 @@ end
     @test_throws ArgumentError DimPoints(nothing)
     # Vector
     @test @inferred DimPoints(X(1.0:2.0)) == [(1.0,), (2.0,)]
+
+    @testset "zero dimensional" begin
+        dp0 = DimPoints(())
+        @test dp0[] == ()
+        @test view(dp0) == dp0
+        @test first(dp0) == ()
+        @test eltype(dp0) == Tuple{}
+        @test ndims(dp0) == 0
+        @test dims(dp0) == ()
+        @test size(dp0) == ()
+    end
 end
 
 @testset "DimSelectors" begin
@@ -77,6 +100,17 @@ end
     @test @inferred DimSelectors(X(1.0:2.0)) ==
         [(X(At(1.0; atol=eps(Float64))),), (X(At(2.0; atol=eps(Float64))),)]
 
+    @testset "zero dimensional" begin
+        ds0 = DimSelectors(())
+        @test ds0[] == ()
+        @test view(ds0) == ds0
+        @test first(ds0) == ()
+        @test eltype(ds0) == Tuple{}
+        @test ndims(ds0) == 0
+        @test dims(ds0) == ()
+        @test size(ds0) == ()
+    end
+
     @testset "atol" begin
         dsa = @inferred DimSelectors(A; atol=0.3)
         # Mess up the lookups a little...