diff --git a/src/_BSplineManifold.jl b/src/_BSplineManifold.jl
index f11ac185b..67ead06af 100644
--- a/src/_BSplineManifold.jl
+++ b/src/_BSplineManifold.jl
@@ -57,6 +57,14 @@ Base.:(==)(M1::AbstractManifold, M2::AbstractManifold) = (bsplinespaces(M1)==bsp
 bsplinespaces(M::BSplineManifold) = M.bsplinespaces
 controlpoints(M::BSplineManifold) = M.controlpoints
 
+function Base.hash(M::BSplineManifold{0}, h::UInt)
+    hash(BSplineManifold{0}, hash(controlpoints(M), h))
+end
+
+function Base.hash(M::BSplineManifold, h::UInt)
+    hash(xor(hash.(bsplinespaces(M), h)...), hash(controlpoints(M), h))
+end
+
 @doc raw"""
 
     unbounded_mapping(M::BSplineManifold{Dim}, t::Vararg{Real,Dim})
diff --git a/src/_BSplineSpace.jl b/src/_BSplineSpace.jl
index 08aff29f9..4491834b0 100644
--- a/src/_BSplineSpace.jl
+++ b/src/_BSplineSpace.jl
@@ -511,3 +511,8 @@ end
 function expandspace(P::BSplineSpace{p,T}, k₊::AbstractKnotVector=EmptyKnotVector{T}()) where {p,T}
     expandspace_I(P,k₊)
 end
+
+function Base.hash(P::BSplineSpace{p}, h::UInt) where p
+    k = knotvector(P)
+    hash(BSplineSpace{p}, hash(_vec(k), h))
+end
diff --git a/src/_DerivativeSpace.jl b/src/_DerivativeSpace.jl
index 42b9cd868..313ecbd6c 100644
--- a/src/_DerivativeSpace.jl
+++ b/src/_DerivativeSpace.jl
@@ -116,3 +116,9 @@ function Base.issubset(P::BSplineSpace, dP′::BSplineDerivativeSpace)
 end
 
 # TODO: Add issqsubset
+
+function Base.hash(dP::BSplineDerivativeSpace{r,<:BSplineSpace{p}}, h::UInt) where {r,p}
+    P = bsplinespace(dP)
+    k = knotvector(P)
+    hash(BSplineDerivativeSpace{r,<:BSplineSpace{p}}, hash(_vec(k), h))
+end
diff --git a/src/_KnotVector.jl b/src/_KnotVector.jl
index 50baa2d71..15adea605 100644
--- a/src/_KnotVector.jl
+++ b/src/_KnotVector.jl
@@ -459,3 +459,7 @@ KnotVector([6])
 macro knotvector_str(s)
     return sum(KnotVector(findall(==('0'+i), s))*i for i in 1:9)
 end
+
+function Base.hash(k::AbstractKnotVector, h::UInt)
+    hash(AbstractKnotVector, hash(_vec(k), h))
+end
diff --git a/src/_RationalBSplineManifold.jl b/src/_RationalBSplineManifold.jl
index f930737d6..ef3ab8c5f 100644
--- a/src/_RationalBSplineManifold.jl
+++ b/src/_RationalBSplineManifold.jl
@@ -51,6 +51,14 @@ RationalBSplineManifold(a::Array{C,Dim},w::Array{T,Dim},Ps::Vararg{BSplineSpace,
 
 Base.:(==)(M1::RationalBSplineManifold, M2::RationalBSplineManifold) = (bsplinespaces(M1)==bsplinespaces(M2)) & (controlpoints(M1)==controlpoints(M2)) & (weights(M1)==weights(M2))
 
+function Base.hash(M::RationalBSplineManifold{0}, h::UInt)
+    hash(RationalBSplineManifold{0}, hash(weights(M), hash(controlpoints(M), h)))
+end
+
+function Base.hash(M::RationalBSplineManifold, h::UInt)
+    hash(xor(hash.(bsplinespaces(M), h)...), hash(weights(M), hash(controlpoints(M), h)))
+end
+
 controlpoints(M::RationalBSplineManifold) = M.controlpoints
 weights(M::RationalBSplineManifold) = M.weights
 bsplinespaces(M::RationalBSplineManifold) = M.bsplinespaces
diff --git a/test/test_BSplineManifold.jl b/test/test_BSplineManifold.jl
index 078a99d7a..c6e19a332 100644
--- a/test/test_BSplineManifold.jl
+++ b/test/test_BSplineManifold.jl
@@ -18,6 +18,37 @@
         return a′
     end
 
+    @testset "constructor" begin
+        k1 = KnotVector([0,0,1,1])
+        k2 = UniformKnotVector(1:8)
+        k3 = KnotVector(rand(8))
+        _k1 = KnotVector([0,0,1,1])
+        _k2 = KnotVector(1:8)
+        _k3 = copy(k3)
+        P1 = BSplineSpace{1}(k1)
+        P2 = BSplineSpace{3}(k2)
+        P3 = BSplineSpace{2}(k3)
+        _P1 = BSplineSpace{1}(_k1)
+        _P2 = BSplineSpace{3}(_k2)
+        _P3 = BSplineSpace{2}(_k3)
+
+        # 0-dim
+        a = fill(1.2)
+        @test BSplineManifold(a) == BSplineManifold(a)
+        @test BSplineManifold(a) == BSplineManifold(copy(a))
+        @test hash(BSplineManifold(a)) == hash(BSplineManifold(a))
+        @test hash(BSplineManifold(a)) == hash(BSplineManifold(copy(a)))
+
+        # 4-dim
+        a = rand(dim(P1), dim(P2), dim(P3), dim(P3))
+        @test BSplineManifold(a, P1, P2, P3, P3) == BSplineManifold(a, P1, P2, P3, P3)
+        @test hash(BSplineManifold(a, P1, P2, P3, P3)) == hash(BSplineManifold(a, P1, P2, P3, P3))
+        @test BSplineManifold(a, P1, P2, P3, P3) == BSplineManifold(a, _P1, _P2, _P3, _P3)
+        @test hash(BSplineManifold(a, P1, P2, P3, P3)) == hash(BSplineManifold(a, _P1, _P2, _P3, _P3))
+        @test BSplineManifold(a, P1, P2, P3, P3) == BSplineManifold(copy(a), _P1, _P2, _P3, _P3)
+        @test hash(BSplineManifold(a, P1, P2, P3, P3)) == hash(BSplineManifold(copy(a), _P1, _P2, _P3, _P3))
+    end
+
     @testset "1dim" begin
         @testset "BSplineManifold-1dim" begin
             P1 = BSplineSpace{1}(KnotVector([0, 0, 1, 1]))
diff --git a/test/test_BSplineSpace.jl b/test/test_BSplineSpace.jl
index aec0451c6..b8eadb4ca 100644
--- a/test/test_BSplineSpace.jl
+++ b/test/test_BSplineSpace.jl
@@ -123,12 +123,15 @@
         @test P1 ⊆ P2
         @test P2 ⊆ P1
         @test P1 == P2
+        @test hash(P1) == hash(P2)
 
         @test P3 ⊆ P4
         @test P4 ⊆ P3
         @test P3 == P4
+        @test hash(P3) == hash(P4)
 
         @test P1 != P3
+        @test hash(P1) != hash(P3)
     end
 
     @testset "expandspace" begin
diff --git a/test/test_Derivative.jl b/test/test_Derivative.jl
index b0f036f65..685810e52 100644
--- a/test/test_Derivative.jl
+++ b/test/test_Derivative.jl
@@ -16,6 +16,7 @@
         dP7 = BSplineDerivativeSpace{2,typeof(P3)}(dP6)
         @test dP1 == dP2 == dP3 != dP4
         @test dP1 !== dP2
+        @test hash(dP1) == hash(dP2) == hash(dP3) != hash(dP4)
         @test_throws MethodError BSplineDerivativeSpace{1,typeof(P2)}(dP1)
         @test_throws MethodError BSplineDerivativeSpace(dP1)
         @test_throws MethodError BSplineDerivativeSpace{}(dP1)
@@ -25,6 +26,7 @@
         @test dP1 isa BSplineDerivativeSpace{1,<:BSplineSpace{p,T,KnotVector{T}} where {p,T}}
         @test dP2 isa BSplineDerivativeSpace{1,<:UniformBSplineSpace{p,T} where {p,T}}
         @test dP4 == dP5 == dP6 == dP7
+        @test hash(dP4) == hash(dP5) == hash(dP6) == hash(dP7)
 
         @test dP2 == convert(BSplineDerivativeSpace,dP2)
         @test dP2 == convert(BSplineDerivativeSpace{1},dP2)
diff --git a/test/test_KnotVector.jl b/test/test_KnotVector.jl
index 18aadec29..1488744c1 100644
--- a/test/test_KnotVector.jl
+++ b/test/test_KnotVector.jl
@@ -13,6 +13,14 @@
         @test k1 != k2
         @test k1.vector !== copy(k1).vector
 
+        @test hash(k1) == hash(KnotVector(1:3)::KnotVector{Int})
+        @test hash(k1) == hash(KnotVector([1,3,2])::KnotVector{Int64})
+        @test hash(k1) == hash(KnotVector([1,2,3])::KnotVector{Int64})
+        @test hash(k1) == hash(KnotVector([1,3,2])::KnotVector{Int64})
+        @test hash(k1) == hash(KnotVector([1.,3,2])::KnotVector{Float64})
+        @test hash(k1) == hash(KnotVector{Int}([1,3,2])::KnotVector{Int})
+        @test hash(k1) != hash(k2)
+
         @test KnotVector{Int}([1,2]) isa KnotVector{Int}
         @test KnotVector{Int}([1,2]) isa KnotVector{Int}
         @test KnotVector{Int}([1,2.]) isa KnotVector{Int}
@@ -59,7 +67,12 @@
         @test KnotVector(Float64[]) == EmptyKnotVector()
         @test KnotVector(Float64[]) |> isempty
         @test KnotVector(Float64[]) |> iszero
-        # @test KnotVector() this shold be return error
+
+        @test hash(KnotVector(Float64[])) == hash(zero(KnotVector))
+        @test hash(KnotVector(Float64[])) == hash(0*k1) == hash(k1*0) == hash(zero(k1))
+        @test hash(KnotVector(Float64[])) == hash(EmptyKnotVector())
+
+        @test_throws MethodError KnotVector()
         @test EmptyKnotVector() |> isempty
         @test EmptyKnotVector() |> iszero
         @test EmptyKnotVector() == KnotVector(Float64[])
diff --git a/test/test_RationalBSplineManifold.jl b/test/test_RationalBSplineManifold.jl
index 40c601709..e3bbe0d95 100644
--- a/test/test_RationalBSplineManifold.jl
+++ b/test/test_RationalBSplineManifold.jl
@@ -1,4 +1,37 @@
 @testset "RationalBSplineManifold" begin
+    @testset "constructor" begin
+        k1 = KnotVector([0,0,1,1])
+        k2 = UniformKnotVector(1:8)
+        k3 = KnotVector(rand(8))
+        _k1 = KnotVector([0,0,1,1])
+        _k2 = KnotVector(1:8)
+        _k3 = copy(k3)
+        P1 = BSplineSpace{1}(k1)
+        P2 = BSplineSpace{3}(k2)
+        P3 = BSplineSpace{2}(k3)
+        _P1 = BSplineSpace{1}(_k1)
+        _P2 = BSplineSpace{3}(_k2)
+        _P3 = BSplineSpace{2}(_k3)
+
+        # 0-dim
+        a = fill(1.2)
+        w = fill(4.2)
+        @test RationalBSplineManifold(a, w) == RationalBSplineManifold(a, w)
+        @test RationalBSplineManifold(a, w) == RationalBSplineManifold(copy(a), copy(w))
+        @test hash(RationalBSplineManifold(a, w)) == hash(RationalBSplineManifold(a, w))
+        @test hash(RationalBSplineManifold(a, w)) == hash(RationalBSplineManifold(copy(a), copy(w)))
+
+        # 4-dim
+        a = rand(dim(P1), dim(P2), dim(P3), dim(P3))
+        w = rand(dim(P1), dim(P2), dim(P3), dim(P3))
+        @test RationalBSplineManifold(a, w, P1, P2, P3, P3) == RationalBSplineManifold(a, w, P1, P2, P3, P3)
+        @test hash(RationalBSplineManifold(a, w, P1, P2, P3, P3)) == hash(RationalBSplineManifold(a, w, P1, P2, P3, P3))
+        @test RationalBSplineManifold(a, w, P1, P2, P3, P3) == RationalBSplineManifold(a, w, _P1, _P2, _P3, _P3)
+        @test hash(RationalBSplineManifold(a, w, P1, P2, P3, P3)) == hash(RationalBSplineManifold(a, w, _P1, _P2, _P3, _P3))
+        @test RationalBSplineManifold(a, w, P1, P2, P3, P3) == RationalBSplineManifold(copy(a), copy(w), _P1, _P2, _P3, _P3)
+        @test hash(RationalBSplineManifold(a, w, P1, P2, P3, P3)) == hash(RationalBSplineManifold(copy(a), copy(w), _P1, _P2, _P3, _P3))
+    end
+
     @testset "1dim-arc" begin
         a = [SVector(1,0), SVector(1,1), SVector(0,1), SVector(-1,1), SVector(-1,0)]
         w = [1, 1/√2, 1, 1/√2, 1]
diff --git a/test/test_UniformBSplineSpace.jl b/test/test_UniformBSplineSpace.jl
index df7deff02..b9800a784 100644
--- a/test/test_UniformBSplineSpace.jl
+++ b/test/test_UniformBSplineSpace.jl
@@ -21,7 +21,7 @@
         @test exactdim_R(P2) == exactdim_R(P2′) == 0
         @test isnondegenerate(P2) == false
         @test isdegenerate(P2) == true
-        @test P2 == P2′
+        @test P2 === P2′
 
         k3 = UniformKnotVector(1.0:0.5:12.0)
         P3 = BSplineSpace{2}(k3)
@@ -79,6 +79,9 @@
         @test P1 == P2 == P3 == P4
         @test P1 != P5
         @test P1 != P6
+        @test hash(P1) == hash(P2) == hash(P3) == hash(P4)
+        @test hash(P1) != hash(P5)
+        @test hash(P1) != hash(P6)
     end
 
     @testset "subset but not sqsubset" begin
diff --git a/test/test_UniformKnotVector.jl b/test/test_UniformKnotVector.jl
index b9a9478d5..aad198e66 100644
--- a/test/test_UniformKnotVector.jl
+++ b/test/test_UniformKnotVector.jl
@@ -16,6 +16,14 @@
         @test k2 != 1:3
         @test k1.vector === copy(k1).vector
         @test k1 === copy(k1)
+
+        @test hash(k1) == hash(k1)
+        @test hash(k1) == hash(k2)
+        @test hash(k2) != hash(k3)
+        @test hash(k4) != hash(k3)
+        @test hash(k4) != hash(k2)
+        @test hash(k2) == hash(KnotVector(1:3))
+        @test hash(k2) != hash(1:3)
     end
 
     @testset "constructor, conversion" begin