homotopy group
21Rational homotopy theory — In mathematics, rational homotopy theory is the study of the rational homotopy type of a space, which means roughly that one ignores all torsion in the homotopy groups. It was started by Dennis Sullivan (1977) and Daniel Quillen (1969) …
22Cohomotopy group — In mathematics, particularly algebraic topology, cohomotopy sets are particular contravariant functors from the category of pointed topological spaces and point preserving continuous maps to the category of sets and functions. They are dual to… …
23Induced homomorphism (fundamental group) — In mathematics, especially in the area of topology known as algebraic topology, the induced homomorphism is a group homomorphism related to the study of the fundamental group.DefinitionLet X and Y be topological spaces; let x 0 be a point of X… …
24p-compact group — In mathematics, in particular algebraic topology, a p compact group is (roughly speaking) a space that is a homotopical version of a compact Lie group, but with all the structure concentrated at a single prime p. This concept was introduced by… …
25P-compact group — In mathematics, in particular algebraic topology, a p compact group is (roughly speaking) a space that is a homotopical version of a compact Lie group, but with all the structure concentrated at a single prime p . This concept was introduced by… …
26Braid group — In mathematics, the braid group on n strands, denoted by B n , is a certain group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group S n . Here, n is a natural number; if n gt; 1, then B n is an… …
27Abstract index group — In operator theory, every Banach algebra can be associated with a group called its abstract index group. Definition Let A be a Banach algebra and G the group of invertible elements in A . The set G is open and a topological group. Consider the… …
28Timelike homotopy — On a Lorentzian manifold, certain curves are distinguished as timelike. A timelike homotopy between two timelike curves is a homotopy such that each intermediate curve is timelike. No closed timelike curve (CTC) on a Lorentzian manifold is… …
29Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …
30Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… …
