// Create the map
 var map = new esri.Map("map", {
  extent:initExtent //initExtent is a variable w/ your initial extent
 });
 
 // Set up and establish the data layers for the map, beginning with the basemap
 var primaryMapServiceURL = "http://server.arcgisonline.com/ArcGIS/rest/services/World_Street_Map/MapServer";
 var theBasemap = new esri.layers.ArcGISTiledMapServiceLayer(primaryMapServiceURL, {
  visible: false
 });
 map.addLayer(theBasemap);
  dojo.require("esri.map");
  dojo.require("esri.layers.osm");
  dojo.require("esri.layers.FeatureLayer");
  dojo.require("dijit.dijit");
  dojo.require("esri.dijit.Popup");
  dojo.addOnLoad(init);
  var centerpoint = 0;
  var map = 0;
  var windowProxy;
  var current_open_marker = 0;
  var mouseover = 0;
  function init() {
    esriConfig.defaults.map.zoomDuration = 220;
    esriConfig.defaults.map.panDuration = 220;
    var popup = new esri.dijit.Popup(null, dojo.create("div"));
    map = new esri.Map("map", {
      infoWindow: popup,
      zoom: 6
    });
    var testlayer = initlayer('http://services.arcgisonline.com/ArcGIS/rest/services/NatGeo_World_Map/MapServer', 'CTGF5889DE7840DB7AC4', 1);
    dojo.connect(map, "onLoad", function () {
      //var testlayer = initlayer('http://services.arcgisonline.com/ArcGIS/rest/services/NatGeo_World_Map/MapServer', 'CTGF5889DE7840DB7AC4', 1);
      testlayer.show();
      //map.hideZoomSlider();
      $(document).ready(function () {
        //do future onload code 
      });
    });
  }
  function initlayer(url, id, opacity) {
    var layer = new esri.layers.ArcGISTiledMapServiceLayer(url, { 'id': id, 'opacity': opacity, 'visible': false });
    map.addLayer(layer);
    return layer;
  }
					
				
			
			
				
			
			
				
			
			
			
			
			
			
		Yes, you can remove the basemap once it's added to the map. I was unable to find any resources in the documentation, but after some trial and error was able to do so by calling:
 map._removeBasemap();
Which is extremely useful if you are using your own custom basemaps with Esri's basemaps. 🙂