Kemore 80 series washer - cold water fil...

This problem may be attributed to a defective cold water solenoid on the water inlet valve. The following link explains how to access and/or replace:

http://www.fixya.com/support/r600647-replacing_water_inlet_valve_kenmore

If you live in an area that has hard water, or if you use well water, sediment and rust can often clog the valve or sediment screens in the hose and fittings. You can attempt to clean the valve by removing it and allowing it to soak in a 50/50 solution of distilled vinegar and water. Submerse the valve fittings in the solution and allow to soak for 30 minutes. Do not get the electrical contacts wet, however. Rinse with clean water. Make sure you also check the ends of the fill hoses as well. Many of them have restrictor screens that can also become clogged.

If you wish to replace the valve, replacements can be purchased at searspartsdirect.com, appliancepartrspros.com, pcappliancerepair.com, or repairclinic.com. All these sites offer great service and competitive pricing, so shop around for the best deal. This isn't an expensive repair and its not difficult.

If you have questions, or need additional assistance, please let me know. I hope this helps you.

I would start with checking the faucet first. Turn it off. Disconnect the hose, and try running water from the faucet into a bucket. Also check the hose screen in the end of the hose itself.