homoeomorphicadj.

/hɒmiːəʊˈmɔːfɪk/

Forms: Also homeomorphic.

Etymology: formed as homoeomorphism n. + -ic suffix.

a. gen. Of the same kind or form.

ΘΚΠ

the world > relative properties > relationship > similarity > [adjective]

ylikeeOE

likeOE

anlikeOE

accordanta1325

of a (also one) mouldc1330

kindred1340

lichy1370

likelyc1384

alikea1393

ontinkela1400

evenly?c1400

similable?a1440

semble1449

of a sort1463

seemable1501

uniform1548

resembled1553

self-like1556

like-natured1566

resembling1573

kindlike1579

of the same, that, every, etc. feather1581

resemblant1581

marrow1585

similar1586

like-seeming1590

twin-like1599

connatural1601

similary1610

semblativea1616

otherlike1620

like-shaped1640

connate1641

homogeneous1641

consimilar1645

congenerous1646

resemblancing1652

congeniousa1656

congenerate1657

equaliform1660

congenial1669

similitive1678

symbolizant1685

synonymous1690

of akin1723

consimilary1736

like-sized1742

cogeneric1777

alike as a row of pins1785

congenerica1834

Siamese1833

congener1867

lak1881

sorty1885

homoeomorphic1902

homogenized1958

1902 A. H. Buck Ref. Handbk. Med. Sci. (rev. ed.) IV. 660/1 In a remarkable proportion of cases of mental and other nervous disturbances we find a history of antecedent nervous conditions, either homoeomorphic, i.e. of the same order, or heteromorphic, of different type.

b. Palaeontology. = homoeomorphous adj. c.

ΘΚΠ

the world > life > biology > biological processes > genetic activity > heredity or hereditary descent > [adjective] > resemblance between different organisms

homologous1846

homological1849

homoplastic1870

parhomologous1888

isomeric1890

homoeomorphous1895

syntechnic1902

homoeomorphic1923

1923 H. H. Swinnerton Outl. Palæontol. x. 214 These forms presented homeomorphic resemblances to Amaltheus.

2. Usually homeo-. Mathematics. [ < French homéomorphe (H. Poincaré 1895, in Jrnl. de l'École polytechn. I. 9).] Related by a homoeomorphism, topologically equivalent to a complex, figure, or topological space; that is a homoeomorphism.

ΘΚΠ

the world > relative properties > number > geometry > [adjective] > of geometrical relation

reciprocal1570

regular1570

projectivea1652

semi-conjugate axis1743

homographic1859

symmetric1860

confocal1867

correlative1881

involutorial1885

conjugate1902

antisymmetrical1913

homoeomorphic1918

homotopic1918

isometric1952

1918 O. Veblen Analysis Situs (Cambridge Colloq. Lect., Vol. 5, Pt. 2) i. 3 Two complexes related by a homeomorphism are said to be homeomorphic.

1926 Trans. Amer. Math. Soc. 28 4 The manifold condition is equivalent to demanding that all these complexes be homeomorphic to cell boundaries.

1932 Ann. Math. 33 550 The isomorphism..induces a homeomorphic (i.e., a one–one bi-continuous) correspondence between the points of the two group spaces.

1956 E. M. Patterson Topol. i. 6 Topologically, the Möbius band is a different surface from the cylinder, which means that the two surfaces are not homeomorphic.

1967 F. Harary Seminar on Graph Theory ii. 15 A subdivision of a graph G is any graph obtainable from G by replacing some line uv of G by a new point w and two new lines uw and wv. Two graphs are homeomorphic if there is a third graph which can be obtained from each by a sequence of subdivisions.

1967 D. W. Blackett Elem. Topol. i. 13 Any two circles are homeomorphic and..any circle is homeomorphic to any square. On the other hand, a circle and a figure eight are not homeomorphic.

Derivatives

homoeoˈmorphically adv. Mathematics in a way that preserves all topological properties.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [adverb]

alternately1570

homographically1859

birationally1915

homoeomorphically1927

homotopically1930

isomorphically1935

homomorphically1941

isometrically1959

symplectically1959

1927 Trans. Amer. Math. Soc. 29 438 Two h-cells can be homeomorphically transformed into one another in such manner that two (h—1)-cells of their boundaries are similarly transformed.

1965 S. Barr Exper. Topol. i. 6 If we draw a triangle on a lump of Plasticine, it is conceivably possible to distort it homoeomorphically so as to get rid of the three angles and make it into a circle.

This entry has not yet been fully updated (first published 1976; most recently modified version published online December 2020).

单词	homoeomorphic
释义	homoeomorphicadj. /hɒmiːəʊˈmɔːfɪk/ Forms: Also homeomorphic. Etymology: formed as homoeomorphism n. + -ic suffix. 1. a. gen. Of the same kind or form. ΘΚΠ the world > relative properties > relationship > similarity > [adjective] ylikeeOE likeOE anlikeOE accordanta1325 of a (also one) mouldc1330 kindred1340 lichy1370 likelyc1384 alikea1393 ontinkela1400 evenly?c1400 similable?a1440 semble1449 of a sort1463 seemable1501 uniform1548 resembled1553 self-like1556 like-natured1566 resembling1573 kindlike1579 of the same, that, every, etc. feather1581 resemblant1581 marrow1585 similar1586 like-seeming1590 twin-like1599 connatural1601 similary1610 semblativea1616 otherlike1620 like-shaped1640 connate1641 homogeneous1641 consimilar1645 congenerous1646 resemblancing1652 congeniousa1656 congenerate1657 equaliform1660 congenial1669 similitive1678 symbolizant1685 synonymous1690 of akin1723 consimilary1736 like-sized1742 cogeneric1777 alike as a row of pins1785 congenerica1834 Siamese1833 congener1867 lak1881 sorty1885 homoeomorphic1902 homogenized1958 1902 A. H. Buck Ref. Handbk. Med. Sci. (rev. ed.) IV. 660/1 In a remarkable proportion of cases of mental and other nervous disturbances we find a history of antecedent nervous conditions, either homoeomorphic, i.e. of the same order, or heteromorphic, of different type. b. Palaeontology. = homoeomorphous adj. c. ΘΚΠ the world > life > biology > biological processes > genetic activity > heredity or hereditary descent > [adjective] > resemblance between different organisms homologous1846 homological1849 homoplastic1870 parhomologous1888 isomeric1890 homoeomorphous1895 syntechnic1902 homoeomorphic1923 1923 H. H. Swinnerton Outl. Palæontol. x. 214 These forms presented homeomorphic resemblances to Amaltheus. 2. Usually homeo-. Mathematics. [ < French homéomorphe (H. Poincaré 1895, in Jrnl. de l'École polytechn. I. 9).] Related by a homoeomorphism, topologically equivalent to a complex, figure, or topological space; that is a homoeomorphism. ΘΚΠ the world > relative properties > number > geometry > [adjective] > of geometrical relation reciprocal1570 regular1570 projectivea1652 semi-conjugate axis1743 homographic1859 symmetric1860 confocal1867 correlative1881 involutorial1885 conjugate1902 antisymmetrical1913 homoeomorphic1918 homotopic1918 isometric1952 1918 O. Veblen Analysis Situs (Cambridge Colloq. Lect., Vol. 5, Pt. 2) i. 3 Two complexes related by a homeomorphism are said to be homeomorphic. 1926 Trans. Amer. Math. Soc. 28 4 The manifold condition is equivalent to demanding that all these complexes be homeomorphic to cell boundaries. 1932 Ann. Math. 33 550 The isomorphism..induces a homeomorphic (i.e., a one–one bi-continuous) correspondence between the points of the two group spaces. 1956 E. M. Patterson Topol. i. 6 Topologically, the Möbius band is a different surface from the cylinder, which means that the two surfaces are not homeomorphic. 1967 F. Harary Seminar on Graph Theory ii. 15 A subdivision of a graph G is any graph obtainable from G by replacing some line uv of G by a new point w and two new lines uw and wv. Two graphs are homeomorphic if there is a third graph which can be obtained from each by a sequence of subdivisions. 1967 D. W. Blackett Elem. Topol. i. 13 Any two circles are homeomorphic and..any circle is homeomorphic to any square. On the other hand, a circle and a figure eight are not homeomorphic. Derivatives homoeoˈmorphically adv. Mathematics in a way that preserves all topological properties. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [adverb] alternately1570 homographically1859 birationally1915 homoeomorphically1927 homotopically1930 isomorphically1935 homomorphically1941 isometrically1959 symplectically1959 1927 Trans. Amer. Math. Soc. 29 438 Two h-cells can be homeomorphically transformed into one another in such manner that two (h—1)-cells of their boundaries are similarly transformed. 1965 S. Barr Exper. Topol. i. 6 If we draw a triangle on a lump of Plasticine, it is conceivably possible to distort it homoeomorphically so as to get rid of the three angles and make it into a circle. This entry has not yet been fully updated (first published 1976; most recently modified version published online December 2020). < adj.1902
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