X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fdama%2Ftopology.ma;h=f068fcbd56bc79c914740bc9752c0e14bcef6dcb;hb=a3f4c0a8b4328cb9a9fe3b4c2e577be2a258675c;hp=3a7ec0da792c0cafd86e8ae51ab68b8e221791be;hpb=b1ee9ef71c8badde1b783e0e0296a4e7d87a8aa4;p=helm.git

diff --git a/matita/dama/topology.ma b/matita/dama/topology.ma
index 3a7ec0da7..f068fcbd5 100644
--- a/matita/dama/topology.ma
+++ b/matita/dama/topology.ma
@@ -16,7 +16,7 @@ set "baseuri" "cic:/matita/topology/".
 
 include "sets.ma".
 
-record is_topology X (A: set X) (O: set (set X)) : Prop  ≝
+record is_topology (X) (A: set X) (O: set (set X)) : Prop  ≝
  { top_subset: ∀B. B ∈ O → B ⊆ A;
    top_empty: ∅︀ ∈ O;
    top_full: A ∈ O;
@@ -28,16 +28,16 @@ record is_topology X (A: set X) (O: set (set X)) : Prop  ≝
 record topological_space : Type ≝
  { top_carrier:> Type;
    top_domain:> set top_carrier;
-   top_O: set (set top_carrier);
-   top_is_topological_space:> is_topology ? top_domain top_O
+   O: set (set top_carrier);
+   top_is_topological_space:> is_topology ? top_domain O
  }.
 
 (*definition is_continuous_map ≝
  λX,Y: topological_space.λf: X → Y.
-  ∀V. V ∈ top_O Y → (f \sup -1) V ∈ top_O X.*)
+  ∀V. V ∈ O Y → (f \sup -1) V ∈ O X.*)
 definition is_continuous_map ≝
  λX,Y: topological_space.λf: X → Y.
-  ∀V. V ∈ top_O Y → inverse_image ? ? f V ∈ top_O X.
+  ∀V. V ∈ O Y → inverse_image ? ? f V ∈ O X.
 
 record continuous_map (X,Y: topological_space) : Type ≝
  { cm_f:> X → Y;