• 1From a lower to a higher point on (something); upward along.

    ‘she climbed up a flight of steps’
    • ‘He was assigned to work as an Inspecteur des Finances at the French Finance Ministry in 1971 and rose up the hierarchy.’
    • ‘She shrieked with laughter as they raced up the stairs.’
    • ‘I don't know where we were, but I wanted to climb up a really steep hill - which seemed to take ages.’
    • ‘We picked our way up one side of the ridge, and I found a spot where we could spend the long night ahead.’
    • ‘Calleri is one of several Argentines moving steadily up the rankings.’
    • ‘She pushed her glasses further up the bridge of her nose.’
    1. 1.1 From one end to another of (a street or other area), not necessarily on an upward slope.
      ‘bicycling up Pleasant Avenue toward Maywood Avenue’
      ‘walking up the street’
      • ‘I lived just up the street from them.’
      • ‘He's done one job for Redwood City, and one for Emeryville that's just a few blocks up Park Avenue from his office.’
      • ‘He was returning from visiting his mother further up Silchester Road when the evacuation began and was unable to get back to his home.’
    2. 1.2 To a higher part of (a river or stream), away from the sea.
      ‘a cruise up the Rhine’
      • ‘We think it is a realistic proposition to bring a crossing between Kent and Southend, and eventually up the Thames to London.’
      • ‘In 1866 the U.S.S. General Sherman sailed up the Taedong River to Pyongyang.’
      • ‘Last summer I made a trip up the Amazon basin in Peru.’