the Seifert–Van Kampen theorem of algebraic topology (named after Herbert Seifert and Egbert van Kampen), sometimes just called Van Kampen's theorem, expresses...

called the free product with amalgamation. It shows up in the Seifert–van Kampen theorem of algebraic topology (see below). In CRing, the category of commutative...

that respect, the Mayer–Vietoris sequence is analogous to the Seifert–van Kampen theorem for the fundamental group, and a precise relation exists for homology...

the Seifert–van Kampen theorem). He then moved to the University of Leipzig, where he received his second doctorate in 1932. It was here that Seifert submitted...

another paper of Van Kampen, where he proved what is now known as the Seifert–Van Kampen theorem. The main result of the paper on Van Kampen diagrams, now...

theorem. This led Van Kampen to formulate and prove what is nowadays known as the Seifert–Van Kampen theorem. By the late 1930s, Van Kampen started to suffer...

at a single point) is, under certain conditions given in the Seifert van-Kampen theorem, the free product of the fundamental groups of the spaces. Free...

tools from algebraic topology, such as the Seifert–van Kampen theorem or the cellular approximation theorem. The circle (also known as the 1-sphere) S...

Leray–Hirsch theorem Poincaré duality theorem Seifert–van Kampen theorem Universal coefficient theorem Whitehead theorem Algebraic K-theory Exact sequence Glossary...

polygon edge labels as generators. This is a consequence of the Seifert–van Kampen theorem. Gluing edges of polygons is a special kind of quotient space...

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

S^{2}\to \cdots } Seifert–van Kampen theorem Homotopy excision theorem Freudenthal suspension theorem (a corollary of the excision theorem) Landweber exact...

Schwarz–Ahlfors–Pick theorem (differential geometry) Schwenk's theorem (graph theory) Scott core theorem (3-manifolds) Seifert–van Kampen theorem (algebraic topology)...

develops basic algebraic topology, including higher analogues to the Seifert–Van Kampen theorem, without using singular homology or simplicial approximation....

learned in algebraic topology. Unlike the Seifert–van Kampen theorem for the fundamental group and the excision theorem for singular homology and cohomology...

integers, corresponding to linking number. This can be seen via the Seifert–Van Kampen theorem (either adding the point at infinity to get a solid torus, or...

{a} and {b}. So like S1, the result follows from the groupoid Seifert-van Kampen theorem, as in the book Topology and Groupoids. More generally McCord...

determined by its lattice of subgroups. See Suzuki 1951. See the Seifert–Van Kampen theorem for an example. An example is group cohomology of a group which...

spaces X and Y glued along a connected common subspace, as in the Seifert-van Kampen theorem. These two constructions allow the description of the fundamental...

points 1 and λ on the two sheets of the Riemann surface. From the Seifert–van Kampen theorem, the homology group of the curve is free of rank two. Because...

theorem is a consequence of HHSvKT, and this then suggested a triadic Hurewicz theorem. Higher-dimensional algebra Higher category theory Seifert–van...

removed can be excluded on purely topological reasons, using the Seifert-van Kampen theorem; for in this case the fundamental group is isomorphic to the free...

from the original (PDF) on June 10, 2007. Retrieved February 21, 2024. John Van der Kiste, Kings of the Hellenes (Alan Sutton Publishing, Stroud, Gloucestershire...

pointed spaces is a key element of the proof of a two-dimensional Seifert-van Kampen Theorem, first proved by Brown and Higgins in 1978, and given an extensive...

Karl Schmidt Herbert Seifert: "Seifert fiber space", "Seifert surface", "Seifert–van Kampen theorem", "Seifert conjecture", Seifert–Weber space Paul Stäckel:...

categories. The fundamental category functor satisfies some kind of Seifert–van Kampen theorem. The fundamental category functor preserves binary products. As...

television writer Jane Kaczmarek, actress Kelly Kahl, television executive Irene Kampen, author Ben Karlin, Emmy Award-winning television producer Catherine Ransom...