This question has been asked (for example, here Using ViewPager with Tabs without actionBar), however the answer there doesn't work. There's some links to Swipey but unfortunately the link is broken too.
The example from Android site EffectiveNavigation uses Actionbar to host the tab fragment, so obviously if I set a .NoActionBar theme, then there's no host. Any different way? Thanks.
Update screenshot of what I want to create, at the top, there's no actionbar.

Update 2 this is from the google example, there's an actionbar on top (titled "Effective navigation), which I want to get rid of

Solution of your problem is already given in http://developer.android.com/
To disableAction-bar Icon and Title, you must do two things:
setDisplayShowHomeEnabled(false); // hides action bar icon
setDisplayShowTitleEnabled(false); // hides action bar title
Follow The Steps given in Using split action bar
Write Following Code in OnCreate()
@Override
protected void onCreate(Bundle savedInstanceState) {
super.onCreate(savedInstanceState);
setContentView(R.layout.navigation_drawer);
getActionBar().setDisplayShowHomeEnabled(false); // hides action bar icon
getActionBar().setDisplayShowTitleEnabled(false); // hides action bar title
//rest of your code...
}

After Android updated Actionbar to Toolbar there are many changes in Actionbar Tabs.
Please follow below links to create swipable tabs in Andoid.
Design Structure :
Tabs Design Guidelines

Some of the very useful links are below. Please refer to them.
Download sample zip from below link
http://developer.android.com/samples/SlidingTabsBasic/index.html
Or Refer these links
http://www.android4devs.com/2015/01/how-to-make-material-design-sliding-tabs.html
http://www.exoguru.com/android/material-design/navigation/android-sliding-tabs-with-material-design.html
http://www.truiton.com/2015/06/android-tabs-example-fragments-viewpager/
https://guides.codepath.com/android/Google-Play-Style-Tabs-using-TabLayout
This may help you...
You can:
Use a ViewPager with a PagerTabStrip
Use a ViewPager with the TabPageIndicator class from the ViewPagerIndicator library
Use a ViewPager with other third-party tab indicators (e.g., in the "View Pagers" category at the Android Arsenal)
Use a ViewPager and design your own tabbed indicator
Use a FragmentTabHost and skip the swiping part
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