surface

n. exterior or upper boundary of a thing, external part or layer; outward appearance

adj. of or pertaining to a surface, external; superficial

v. provide with a surface; make smooth or even; appear on the surface, rise up to the surface; appear

In mathematics, specifically in topology, a surface is a two-dimensional manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space, E³. On the other hand, there are also more exotic surfaces, that are so "contorted" that they cannot be  embedded in three-dimensional space at all.
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n. surface, area, ground, top

v. surface

(v. t.)
To work over the surface or soil of, as ground, in hunting for gold.
  

(v. t.)
To give a surface to; especially, to cause to have a smooth or plain surface; to make smooth or plain.
  

(n.)
The exterior part of anything that has length and breadth; one of the limits that bound a solid, esp. the upper face; superficies; the outside; as, the surface of the earth; the surface of a diamond; the surface of the body.
  

(n.)
That part of the side which is terminated by the flank prolonged, and the angle of the nearest bastion.
  

(n.)
Hence, outward or external appearance.
  

(n.)
A magnitude that has length and breadth without thickness; superficies; as, a plane surface; a spherical surface.
  

Noun
1. the outer boundary of an artifact or a material layer constituting or resembling such a boundary; "there is a special cleaner for these surfaces"; "the cloth had a pattern of red dots on a white surface"
(hypernym) artifact, artefact
(hyponym) bed
(derivation) coat
2. the extended two-dimensional outer boundary of a three-dimensional object; "they skimmed over the surface of the water"; "a brush small enough to clean every dental surface"; "the sun has no distinct surface"
(hypernym) boundary, bound, bounds
(hyponym) interface
(derivation) come up, rise up, rise
3. the outermost level of the land or sea; "earthquakes originate far below the surface"; "three quarters of the Earth's surface is covered by water"
(synonym) Earth's surface
(hypernym) layer
(hyponym) floor
(part-holonym) lithosphere, geosphere
(part-meronym) body of water, water
(derivation) come up, rise up, rise
4. a superficial aspect as opposed to the real nature of something; "it was not what it appeared to be on the surface"
(hypernym) aspect, facet
(derivation) come up, rise up, rise
5. information that has become public; "all the reports were out in the open"; "the facts had been brought to the surface"
(synonym) open
(hypernym) public knowledge, general knowledge
(derivation) come on, come out, turn up, show up
6. a device that provides reactive force when in motion relative to the surrounding air; can lift or control a plane in flight
(synonym) airfoil, aerofoil, control surface
(hypernym) device
(hyponym) aileron
(part-meronym) leading edge
Verb
1. come to the surface
(synonym) come up, rise up, rise
(hypernym) ascend, go up
(hyponym) emerge
2. put a coat on; cover the surface of; furnish with a surface; "coat the cake with chocolate"
(synonym) coat
(hypernym) cover
(hyponym) rubberize, rubberise, rubber
3. appear or become visible; make a showing; "She turned up at the funeral"; "I hope the list key is going to surface again"
(synonym) come on, come out, turn up, show up
(hypernym) appear
(derivation) open
Adjective
1. on the surface; "surface materials of the moon"
(antonym) subsurface
(similar) aboveground
2. involving a surface only; "her beauty is only skin-deep"; "superficial bruising"; "a surface wound"
(synonym) skin-deep, superficial, surface(a)
(similar) shallow