Away from the surface of the Earth or other planet; in opposite direction to the downward pull of gravity.
To or at a physically higher or more elevated position.
To or towards what is considered the top of something, irrespective of whether this is presently physically higher.
To a higher level of some quantity or notional quantity, such as price, volume, pitch, happiness, etc.
To or in a position of equal advance or equality; not short of, back of, less advanced than, away from, etc.; usually followed by to or with.
Used as an aspect marker to indicate a completed action or state; thoroughly, completely.
To or from one's possession or consideration.
To the north (as north is at the top of typical maps).
Towards or at a central place, or any place that is visualised as 'up' by virtue of local features or local convention, or arbitrarily, irrespective of direction or elevation change.
Towards the principal terminus, towards milepost zero.
Aside or away, so as no longer to be present or in use.
Against the wind or current.
In a positive vertical direction.
Relatively close to the batsman.
Without additional ice.
To university, especially to Cambridge or Oxford.

Toward the top of.
Toward the center, source, or main point of reference; toward the end at which something is attached.
From south to north of.
Further along (in any direction).
From the mouth towards the source of (a river or waterway).
(slang) Of a person: having sex with.
(colloquial) At (a given place, especially one imagined to be higher or more distant from a central location).

Facing upwards.
On or at a physically higher level.
Headed or designated to go upward (as an escalator, stairway, elevator etc.) or toward (as a run-up).
Fitted or fixed at a high or relatively high position, especially on a wall or ceiling.
Available to view or use; made public; posted.
Aloft.
Raised; lifted.
Built, constructed.
Standing; upright.
(obsolete) Risen up, rebelling, in revolt.
Awake and out of bed.
Riding the horse; mounted.
Above the horizon, in the sky.
Larger; greater in quantity, volume, value etc.
Indicating a larger or higher quantity.
Ahead; leading; winning.
Finished, to an end
In a good mood.
Willing; ready.
Next in a sequence.
Happening; new; of concern. See also what's up, what's up with.
Said of the higher-ranking pair in a two pair.
Well-informed; current.
Functional; working.
Traveling towards a major terminus.
Chilled and served without ice.
(slang) Erect.
At university (especially Oxford or Cambridge).
(slang) well-known; renowned

To physically raise or lift.
(colloquial) To increase the level or amount of.
(colloquial) To promote.
To rise to a standing position; hence, by extension, to act suddenly; see also up and.
To ascend; to climb up.
(slang) To upload.