homotopy

名词 n.
中文释义
美 /həˈmɑtəpi/|/ˈhoʊmoʊˌtoʊpi/|/ˈhoʊmə-/

英文释义

名词 n.
  1. A continuous deformation of one continuous function or map to another. countable,uncountable
    — The concept of homotopy represents a formalisation of the intuitive idea of a smooth deformation of one curve into another.
  2. The relationship between two continuous functions where homotopy from one to the other is evident. uncountable
  3. Ellipsis of homotopy theory (“the systematic study of homotopies and their equivalence classes”). abbreviation,alt-of,countable,ellipsis,informal
  4. A theory associating a system of groups with each topological space. countable,uncountable
  5. A system of groups associated with a topological space. countable,uncountable

词形变化

homotopies plural

词汇关系

衍生词
cohomotopy homotopic homotopy category homotopy class homotopy equivalence homotopy equivalent homotopy fiber homotopy fibre homotopy group homotopy invariant homotopy relative to a subspace homotopy theory homotopy type linear homotopy regular homotopy straight-line homotopy
相关词
homotopic homeotopy group homology

词源

From Ancient Greek ὁμός (homós, “same, similar”) + τόπος (tópos, “place”); earliest known use in print in 1922, Oswald Veblen, Analysis Situs.
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