Topological monoid information

branch of mathematics, a topological monoid is a monoid object in the category of topological spaces. In other words, it is a monoid with a topology with...

semigroups and monoids. The set of continuous functions from a topological space to itself with composition of functions forms a monoid with the identity...

{\displaystyle G} is a topological group then a subset S {\displaystyle S} of G {\displaystyle G} is called a set of topological generators if ⟨ S ⟩ {\displaystyle...

algebraic structure is a monoid, usually called the full linear monoid, but occasionally also full linear semigroup, general linear monoid etc. It is actually...

In topology, a branch of mathematics, given a topological monoid X up to homotopy (in a nice way), an infinite loop space machine produces a group completion...

the set of nonnegative integers or the set of integers, but can be any monoid. The direct sum decomposition is usually referred to as gradation or grading...

introduced by Fulton and MacPherson. G-fibration A G-fibration with some topological monoid G. An example is Moore's path space fibration. G-space A G-space is...

restricted to Ω'X × Ω'X, we have that Ω'X is a topological monoid (in the category of all spaces). Moreover, this monoid Ω'X acts on P'X through the original μ...

of pointed topological spaces, i.e. topological spaces with distinguished points. The objects are pairs (X, x0), where X is a topological space and x0...

compactness of the quotient space G \ X. Now assume G is a topological group and X a topological space on which it acts by homeomorphisms. The action is...

multiplication are not a group but respectively a commutative monoid and a commutative monoid with involution. A wheel is an algebraic structure ( W , 0...

operation. A monoid homomorphism is a map between monoids that preserves the monoid operation and maps the identity element of the first monoid to that of...

numbering is a topological order, and any topological order is a correct numbering. Thus, any algorithm that derives a correct topological order derives...

notions or topological notions. Varieties of finite monoids, varieties of finite ordered semigroups and varieties of finite ordered monoids are defined...

mathematics, the Grothendieck group, or group of differences, of a commutative monoid M is a certain abelian group. This abelian group is constructed from M in...

the algebraic structure. Topological group: a group with a topology compatible with the group operation. Lie group: a topological group with a compatible...

monoidal space is a topological space along with a sheaf of multiplicative monoids called the structure sheaf. An affine monoid scheme is a monoidal...

group is the dyadic monoid, which is the monoid of all strings of the form STkSTmSTn... for positive integers k, m, n,.... This monoid occurs naturally in...

be a ringed space. Isomorphism classes of sheaves of OX-modules form a monoid under the operation of tensor product of OX-modules. The identity element...