space is weakly contractible. Since S ∞ {\displaystyle S^{\infty }} is moreover a CW-complex, it is also contractible. See Contractibility of unit sphere...

classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e., a topological space all of whose homotopy groups...

space X is contractible if the identity map on X is null-homotopic, i.e. if it is homotopic to some constant map. Intuitively, a contractible space is one...

corollary, also referred to as Kuiper's theorem, is that this group is weakly contractible, ie. all its homotopy groups are trivial. This result has important...

functions with Lipschitz constant 1, nonexpansive maps, nonexpanding maps, weak contractions, or short maps. Specifically, suppose that X {\displaystyle...

and Drinfeld states that the Ran space of a connected manifold is weakly contractible. If F is a cosheaf on the Ran space Ran ⁡ ( M ) {\displaystyle \operatorname...

a classifying space BG: the quotient by the action of G of some weakly contractible space, e.g., a topological space with vanishing homotopy groups....

to X, as pointed spaces and given the compact-open topology, is weakly contractible. Sullivan's conjecture was also first presented in his 1970 notes...

with weaker bargaining power was unable to negotiate against. A standard term contract that is particularly unfavourable to the party with weaker bargaining...

point-preserving mappings from B G {\displaystyle BG} to X {\displaystyle X} is weakly contractible. This is equivalent to the statement that the map X {\displaystyle...

point. This means that U(H) is weakly contractible, and an additional argument shows that it is actually contractible. Note that this is a purely infinite...

classified is whether the language's type system makes it strongly typed or weakly typed (loosely typed). However, there is no precise technical definition...

Vitalik Buterin in 2014 describes the Bitcoin protocol as a weak version of the smart contract concept as originally defined by Nick Szabo, and proposed...

is not a party to the original contract and citizens are not obligated to submit to the government when it is too weak to act effectively to suppress...

Contract bridge, or simply bridge, is a trick-taking card game using a standard 52-card deck. In its basic format, it is played by four players in two...

blood. The contrasting phase is systole when the heart chambers are contracting. Atrial diastole is the relaxing of the atria, and ventricular diastole...

noncontractive discontinuous (multivalued) iterated function systems. For weakly contractive iterated function systems the Kantorovich theorem (known also as Tarski-Kantorovich...

within the vagina has a weak contractive force that can create some pressure in the lumen of the vagina; much stronger contractive force, such as during...

a universal cover. Contractible. A space X is contractible if the identity map on X is homotopic to a constant map. Contractible spaces are always simply...

is called contractive if L < 1 {\displaystyle L<1} ; it is called weakly-contractive if L ≤ 1 {\displaystyle L\leq 1} . Every contractive function satisfying...

enter into a contract, they must be (at least weakly) better off than in the absence of the contract. The parties will agree on a contract that maximizes...

to make the notrump opener the declarer in a suit contract when his partner held a relatively weak hand with a long suit; this would make the opening...

space that deformation retracts to a point is contractible and vice versa. However, there exist contractible spaces that do not strongly deformation retract...

Corresponding to these definitions, a directed graph is called weakly connected if it has exactly one weak component. This means that its vertices cannot be partitioned...

An employment contract or contract of employment is a kind of contract used in labour law to attribute rights and responsibilities between parties to a...

The weak two bid is a common treatment used in the game of contract bridge, where an opening bid of two diamonds, hearts or spades signifies a weak hand...

a suit, whereas a safety play is the best line for the contract. Sandbag (Slang) To bid weakly or pass with good values, in the hope that the opponents...

u_{A}(x,y)=u_{B}(x,y)=\min(x,y)} . Note that the utilities are weakly-convex and only weakly-monotone. Still A PEEF allocation exists. The equal allocation...

{\displaystyle x_{n}\to z\in {\text{Fix}}f} . This convergence might be weak in an infinite-dimensional setting. A subcontraction map or subcontractor...

teleoconch are slightly rounded, roundly shouldered at the summit and weakly contracted at the suture. They are marked by rather strong, somewhat irregular...