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1. Homology theory: of topological spaces A part of algebraic topology which realizes a connection between topological and algebraic concepts. By associating to each space a certain sequence of groups, and to each continuous mapping of spaces, homomorphisms of the respective groups, homology ... (Mathematics) [100%] 2023-08-18
2. Intersection homology theory: Redirect to:. [81%] 2024-10-01

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1. Homotopy theory: In mathematics, homotopy theory is a systematic study of situations in which maps can come with homotopies between them. It originated as a topic in algebraic topology, but nowadays is learned as an independent discipline. (Branch of mathematics) [85%] 2025-04-19 [Homotopy theory]
2. Homology: Homology involves the theory that macroevolutionary relationships can be demonstrated by the similarity in the anatomy and physiology of different animals. Creation scientists claim that similarity can just as readily be explained by a common Designer as common ancestry, and ... [83%] 2023-03-03 [Biology] [Science]...
3. Homology (psychology): Homology in psychology, as in biology, refers to a relationship between characteristics that reflects the characteristics' origins in either evolution or development. Homologous behaviors can theoretically be of at least two different varieties. (Philosophy) [83%] 2023-12-04 [Evolutionary biology]
4. Homology: Homology, also known as comparative anatomy, in biology is the occurrence and study of shared traits between different taxa due to common descent. The term homology was coined by the infamous British paleontologist and anatomist Richard Owen in 1845, and ... [83%] 2024-01-09 [Biology] [Anatomy]...
5. Homology: in projective geometry An automorphism of the projective plane that leaves fixed all the points of a given straight line (the homology axis) and maps onto themselves all the lines through exactly one fixed point (the homology centre). If the ... (Mathematics) [83%] 2023-01-21
6. Homology (sociology): Homologies are "structural 'resonances'...between the different elements making up a socio-cultural whole." (Middleton 1990, p. 9) Examples include Alan Lomax's cantometrics, which: Richard Middleton (1990, p. (Social) [83%] 2024-06-26 [Sociological terminology]
7. Homology (mathematics): In mathematics, homology is a general way of associating a sequence of algebraic objects, such as abelian groups or modules, with other mathematical objects such as topological spaces. Homology groups were originally defined in algebraic topology. (Mathematics) [83%] 2025-01-01 [Homology theory]
8. Homology, Homotopy and Applications: Homology, Homotopy and Applications is a peer-reviewed delayed open access mathematics journal published by International Press. It was established in 1999 and covers research on algebraic topology. [73%] 2023-05-14 [Mathematics journals]
9. Horology: The science of the measurement of time. Portions of time are distinguished in the first chapter of Genesis. The term "from time to time" (I Chron. (Jewish encyclopedia 1906) [73%] 1906-01-01 [Jewish encyclopedia 1906]
10. Rational homotopy theory: The natural setting of algebraic topology is the homotopy category. Restricting attention to simply-connected homotopy types and mappings between them allows the algebraic operation of localization (cf. (Mathematics) [69%] 2023-09-25 [Algebraic topology]
11. Homotopy type theory: In mathematical logic and computer science, homotopy type theory (HoTT /hɒt/) refers to various lines of development of intuitionistic type theory, based on the interpretation of types as objects to which the intuition of (abstract) homotopy theory applies. This includes ... (Type theory in logic and mathematics) [69%] 2023-11-27 [Foundations of mathematics] [Type theory]...
12. Simple homotopy theory: In mathematics, simple homotopy theory is a homotopy theory (a branch of algebraic topology) that concerns with the simple-homotopy type of a space. It was originated by Whitehead in his 1950 paper "Simple homotopy type". [69%] 2023-12-25 [Homotopy theory] [Equivalence (mathematics)]...
13. Stable homotopy theory: In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the Freudenthal suspension theorem, which ... (The study of spectra) [69%] 2023-05-16 [Homotopy theory]
14. Rational homotopy theory: In mathematics and specifically in topology, rational homotopy theory is a simplified version of homotopy theory for topological spaces, in which all torsion in the homotopy groups is ignored. It was founded by Dennis Sullivan (1977) and Daniel Quillen (1969 ... (Mathematical theory of topological spaces) [69%] 2023-11-19 [Homotopy theory]
15. Rational homotopy theory: In mathematics and specifically in topology, rational homotopy theory is a simplified version of homotopy theory for topological spaces, in which all torsion in the homotopy groups is ignored. It was founded by Dennis Sullivan (1977) and Daniel Quillen (1969 ... (Mathematical theory of topological spaces) [69%] 2023-09-20 [Homotopy theory]
16. Chromatic homotopy theory: In mathematics, chromatic homotopy theory is a subfield of stable homotopy theory that studies complex-oriented cohomology theories from the "chromatic" point of view, which is based on Quillen's work relating cohomology theories to formal groups. In this picture ... (Branch of mathematics) [69%] 2024-09-22 [Homotopy theory] [Cohomology theories]...
17. Stable homotopy theory: In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the Freudenthal suspension theorem, which ... (The study of spectra) [69%] 2025-02-04 [Homotopy theory]
18. Homolois: A daughter of Niobe. [62%] 2008-02-01