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The map H_n(X,A)->H_(n-1)(A) appearing in the long exact sequence of a pair axiom.
A field of extremals is a plane region which is simply connected by a one-parameter family of extremals. The concept was invented by Weierstrass.
A vector specifying how layers are stacked in a laminated lattice.
A property of a space which is also true of each of its subspaces. Being "first-countable" is hereditary, but having a given genus is not.
An open connected set is called a region (sometimes also called a domain).
The circum-medial triangle DeltaA^'B^'C^' is the circumcevian triangle of a reference triangle DeltaABC with respect to the triangle centroid G of DeltaABC (Kimberling 1998, ...
The inner Napoleon circle, a term coined here for the first time, is the circumcircle of the inner Napoleon triangle. It has center at the triangle centroid G (and is thus ...
A bijective map between two metric spaces that preserves distances, i.e., d(f(x),f(y))=d(x,y), where f is the map and d(a,b) is the distance function. Isometries are ...
The points of tangency of the Lucas inner circle with the Lucas circles are the inverses of the vertices A, B, and C in the Lucas circles radical circle. These form the Lucas ...
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