| Information | |
|---|---|
| has gloss | eng: A mathematical object X has the fixed point property if every suitably well-behaved mapping from X to itself has a fixed point. It is a special case of the fixed morphism property. The term is most commonly used to describe topological spaces on which every continuous mapping has a fixed point. But another use is in order theory, where a partially ordered set P is said to have the fixed point property if every increasing function on P has a fixed point. |
| lexicalization | eng: fixed point property |
| lexicalization | eng: Fixed-point property |
| instance of | c/Fixed points |
| Meaning | |
|---|---|
| Polish | |
| has gloss | pol: Niech G będzie podzbiorem przestrzeni topologicznej X. Mówimy, że G ma własność punktu stałego, jeśli dla każdego odwzorowania ciągłego g: G \to G istnieje punkt stały, czyli taki x\in G, że g(x)=x. |
| lexicalization | pol: własność punktu stałego |
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