diff --git a/python-zope-component.spec b/python-zope-component.spec
index 0d73a0b..8ccca62 100644
--- a/python-zope-component.spec
+++ b/python-zope-component.spec
@@ -6,13 +6,6 @@ This package represents the core of the Zope Component Architecture.   \
 Together with the 'zope.interface' package, it provides facilities for \
 defining, registering and looking up components.
 
-# EPEL7 support: Python2 packages prefix is unversioned.
-%if 0%{?rhel} && 0%{?rhel} <= 7
-%global py2_namespace python
-%else
-%global py2_namespace python2
-%endif
-
 
 Summary: %{summary}
 Name: python-%{pkgname}
@@ -25,10 +18,15 @@ Group: Development/Libraries
 BuildArch: noarch
 URL: http://pypi.python.org/pypi/zope.component
 
+# Python 2
 BuildRequires: python2-devel
-BuildRequires: %{py2_namespace}-setuptools
-BuildRequires: %{py2_namespace}-sphinx
-BuildRequires: %{py2_namespace}-repoze-sphinx-autointerface
+BuildRequires: python-setuptools
+BuildRequires: python-sphinx
+BuildRequires: python-repoze-sphinx-autointerface
+
+%{?python_provide:%python_provide python-%{pkgname}}
+Requires: python-zope-interface
+Requires: python-zope-event
 
 # Python3
 BuildRequires: python3-pkgversion-macros
@@ -49,27 +47,9 @@ BuildRequires: python%{python3_other_pkgversion}-setuptools
 #BuildRequires: python-zope-security
 #BuildRequires: python-zope-testrunner
 
-%if %{py2_namespace} == python
-%{?python_provide:%python_provide %{py2_namespace}-%{pkgname}}
-Requires: %{py2_namespace}-zope-interface
-Requires: %{py2_namespace}-zope-event
-%endif
-
 %description %{_description}
 
 
-# Python 2
-%if %{py2_namespace} != python
-%package -n %{py2_namespace}-%{pkgname}
-Summary: %{summary}
-%{?python_provide:%python_provide %{py2_namespace}-%{pkgname}}
-Requires: %{py2_namespace}-zope-interface
-Requires: %{py2_namespace}-zope-event
-
-%description -n %{py2_namespace}-%{pkgname} %{_description}
-%endif
-
-
 # Python 3
 %package -n python%{python3_pkgversion}-%{pkgname}
 Summary: %{summary}
@@ -125,11 +105,13 @@ rm -fr docs/_build/html/{.buildinfo,.doctrees}
 #%%endif
 
 
-%files -n %{py2_namespace}-%{pkgname}
+%files
 %defattr(-,root,root,-)
 %license LICENSE.txt COPYRIGHT.txt
 %doc CHANGES.rst README.rst
 %doc docs/_build/html/
+# Co-own %%{python2_sitelib}/zope/
+%dir %{python2_sitelib}/zope/
 %{python2_sitelib}/zope/component/
 %{python2_sitelib}/%{modname}-*.egg-info
 %{python2_sitelib}/%{modname}-*-nspkg.pth
@@ -139,6 +121,8 @@ rm -fr docs/_build/html/{.buildinfo,.doctrees}
 %license LICENSE.txt COPYRIGHT.txt
 %doc CHANGES.rst README.rst
 %doc docs/_build/html/
+# Co-own %%{python3_sitelib}/zope/
+%dir %{python3_sitelib}/zope/
 %{python3_sitelib}/zope/component/
 %exclude %{python3_sitelib}/zope/component/*.txt
 %{python3_sitelib}/%{modname}-*.egg-info
@@ -149,6 +133,8 @@ rm -fr docs/_build/html/{.buildinfo,.doctrees}
 %license LICENSE.txt COPYRIGHT.txt
 %doc CHANGES.rst README.rst
 %doc docs/_build/html/
+# Co-own %%{python3_other_sitelib}/zope/
+%dir %{python3_other_sitelib}/zope/
 %{python3_other_sitelib}/zope/component/
 %exclude %{python3_other_sitelib}/zope/component/*.txt
 %{python3_other_sitelib}/%{modname}-*.egg-info
@@ -159,7 +145,7 @@ rm -fr docs/_build/html/{.buildinfo,.doctrees}
 %changelog
 * Tue Apr 25 2017 Aurelien Bompard <abompard@fedoraproject.org> - 1:4.1.0-3
 - Use the included documentation.
-- Re-add the Requires for the python- subpackage.
+- Simplify the building of the Python2 version.
 
 * Mon Apr 24 2017 Aurelien Bompard <abompard@fedoraproject.org> - 1:4.1.0-2
 - Enable creation of the Python 3 packages in EPEL, now that the dependencies