Homology, Homotopy and Applications is a peer-reviewed delayed open access mathematics journal published by International Press. It was established in...

QA/0307200. Brown, R. (1999). "Groupoids and crossed objects in algebraic topology" (PDF). Homology, Homotopy and Applications. 1 (1): 1–78. doi:10.4310/HHA.1999...

MR 2601009. Ronald Brown, `Groupoids and crossed objects in algebraic topology', Homology, Homotopy and Applications, 1 (1999) 1–78. Ronald Brown, Philip...

Intuitively, homotopy groups record information about the basic shape, or holes, of a topological space. In algebraic topology and abstract algebra, homology (in...

W. (2010). "The RO(G)-graded Serre spectral sequence". Homology, Homotopy and Applications, 12(1):75-92. Dieck, T. (1987). Transformation Groups. de...

spaces is homotopy invariant if it can be expressed as a functor on the homotopy category. For example, homology groups are a functorial homotopy invariant:...

initial idea of homology as a method of constructing algebraic invariants of topological spaces, the range of applications of homology and cohomology theories...

and 1999, respectively, he has been active with the electronic journals Theory and Applications of Categories and Homology, Homotopy and Applications...

Borsuk–Ulam theorem Ham sandwich theorem Homology sphere Homotopy Path (topology) Fundamental group Homotopy group Seifert–van Kampen theorem Pointed...

Editor of Homology, Homotopy and Applications. Davis has published in algebraic topology, differential topology, topological robotics, and combinatorial...

Philippe (2003). "A model category for the homotopy theory of concurrency". Homology, Homotopy and Applications. 5: 549–599. arXiv:math/0308054. doi:10.4310/HHA...

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...

algorithm for constructing topological structure in large data". Homology, Homotopy and Applications. 14 (1): 221–238. doi:10.4310/hha.2012.v14.n1.a11. ISSN 1532-0073...

technical difficulties, but they all determine the same homotopy category, known as the stable homotopy category. This is one of the key points for introducing...

and in addition to homology it may also be used to generate presentations of homotopy groups of finite simplicial complexes. Gmsh includes a homology...

Jiří; Beneš, Michal (2022). "Nondegenerate homotopy and geometric flows". Homology, Homotopy and Applications. 24 (2): 255–264. arXiv:1807.01540. doi:10...

James reduced product. One of its essential applications is the Dold-Thom theorem, stating that the homotopy groups of the infinite symmetric product of...

Torsten (2002), "On minimal models in integral homotopy theory", Homology, Homotopy and Applications, 4 (2): 191–218, arXiv:math/0107004, doi:10.4310/hha...

in the TDAstats R package. In some applications, such as in TDA, it is useful to have representatives of (co)homology classes that are as "small" as possible...

Structures. Springer. Retrieved 2018-03-08. "Editorial board". Homology, Homotopy and Applications. Retrieved 2018-03-08. "Editorial Board". Cahiers de Topologie...

precise geometry. Unlike homology groups, which are also topological invariants, the homotopy groups are surprisingly complex and difficult to compute. The...

"The ring of algebraic functions on persistence bar codes". Homology, Homotopy and Applications. 18 (1): 381–402. arXiv:1304.0530. doi:10.4310/HHA.2016.v18...

Douglas C. Ravenel" (PDF). Homology, Homotopy and Applications. 10 (3, Proceedings of a Conference in Honor of Douglas C. Ravenel and W. Stephen Wilson): 1–13...

Hiroshima Mathematical Journal Historia Mathematica Homology, Homotopy and Applications Illinois Journal of Mathematics IMA Journal of Management Mathematics...

Homology is a topological invariant, and moreover a homotopy invariant: Two topological spaces that are homotopy equivalent have isomorphic homology groups...

(this corresponds to integer coefficients) and thus descend to the quotient. At the level of homotopy and homology, the mapping class group can be identified...

construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the mapping fibre (a fibration), and a long...

dimensional $L_\infty$ algebra example in gauge theory". Homology, Homotopy and Applications. 7 (2): 87–93. doi:10.4310/HHA.2005.v7.n2.a4. ISSN 1532-0073...

In algebraic topology, simplicial homology is the sequence of homology groups of a simplicial complex. It formalizes the idea of the number of holes of...

(January 2002). "The Roos Festschrift volumes 1 and 2". Homology, Homotopy and Applications. 4 (2): ii–vi, 1–225 and 227–437. MR 1918180. and MR1918521...