homotopy
[计] 同伦
发音
词形变化
释义与例句
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1.
A continuous deformation of one continuous function or map to another.
可数 不可数 数学The concept of homotopy represents a formalisation of the intuitive idea of a smooth deformation of one curve into another.
2010, Vladimir G. Turaev, Homotopy Quantum Field Theory, European Mathematical Society, page xi, In this monograph we apply the idea of a TQFT to maps from manifolds to topological spaces. This leads us to a notion of a (d + 1)-dimensional homotopy quantum field theory (HQFT) which may be described as a TQFT for closed oriented d-dimensional manifolds and compact oriented (d + 1)-dimensional cobordisms endowed with maps to a given space X.
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2.
The relationship between two continuous functions where homotopy from one to the other is evident.
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3.
Ellipsis of homotopy theory (“the systematic study of homotopies and their equivalence classes”).
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4.
A theory associating a system of groups with each topological space.
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A system of groups associated with a topological space.
可数 不可数 数学
相关短语
词源
From Ancient Greek ὁμός (homós, “same, similar”) + τόπος (tópos, “place”); earliest known use in print in 1922, Oswald Veblen, Analysis Situs.
来源：wiktionary