topologic
Concerning continuous transformations
Topologic means relating to topology—the branch of mathematics studying properties that remain unchanged when shapes are stretched, twisted, or deformed without tearing or gluing.
A coffee mug and a donut are topologically equivalent because each has one hole.
The term appears in technical contexts: topologic properties, topologic equivalence.
Also spelled topological.
Unoccupied area or interval
- dimensionMeasurable extent or scope
- pointExact location or meaning
- boundaryLine marking a limit
- interiorInside area or region
exterior · neighborhood · subspace · connectedness · compactness · open · closed · convergence
Many and various
- complexHaving many interconnected parts
- fundamentalForming the base
- groupAssembled collection of things
- EulerProlific 18th-century mathematician
genus · torus · knot · graph · network · cover · mapping · invariant
Perfectly round solid
- torusDoughnut-shaped solid
- planeWinged flying vehicle
- vertexPoint where edges converge
- edgeBoundary or sharpness
face · genus · hole · loop · knot · trefoil · orientable · embedding
Extending muscles or material
- bendingCurving from straight
- twistingRotating with distortion
- morphingSeamless visual transformation process
- equivalenceState of being equal
invariance · continuous · transformation · ambient · deform · preserve
space
Unoccupied area or interval
interior · exterior · neighborhood · subspace · connectedness · compactness · open · closed · convergence · limit
manifold
Many and various
- complexHaving many interconnected parts
- fundamentalForming the base
- groupAssembled collection of things
Euler · genus · torus · knot · graph · network · cover · mapping · invariant · category
sphere
Perfectly round solid
edge · face · genus · hole · loop · knot · trefoil · orientable · embedding · immersion
stretching
Extending muscles or material
- bendingCurving from straight
- twistingRotating with distortion
- morphingSeamless visual transformation process
equivalence · invariance · continuous · transformation · ambient · deform · preserve
topologicmetric
Standard of measurement
metrical · geometric · Euclidean · quantitative · arithmetic