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A set of six.

A system of parameter chain complexes used for multiplication on differential graded algebras up to homotopy.

An estimator of the actual values of population.

The measurable space (S^',S^') into which a random variable from a probability space is a measurable function.

An h-cobordism is a bordism W between two manifolds M_1 and M_2 such that W is simply connected and the inclusion maps M_1->W and M_2->W are homotopy equivalences.

There are two types of bordism groups: bordism groups, also called cobordism groups or cobordism rings, and there are singular bordism groups. The bordism groups give a ...

Let X and Y be CW-complexes, and let f:X->Y be a continuous map. Then the cellular approximation theorem states that any such f is homotopic to a cellular map. In fact, if ...

The compact-open topology is a common topology used on function spaces. Suppose X and Y are topological spaces and C(X,Y) is the set of continuous maps from f:X->Y. The ...

A subspace A of X is called a deformation retract of X if there is a homotopy F:X×I->X (called a retract) such that for all x in X and a in A, 1. F(x,0)=x, 2. F(x,1) in A, ...

A topological space X is semilocally simply connected (also called semilocally 1-connected) if every point x in X has a neighborhood U such that any loop L:[0,1]->U with ...