There are others, coming from stable homotopy theory.

* A topological defect, a generalization of the idea of a soliton to any system which is stable against decay due to homotopy theory

In the language of stable homotopy theory, the Chern class, Stiefel-Whitney class, and Pontryagin class are stable, while the Euler class is unstable.

( The clutching function for arises from the stable homotopy group.

* D. C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Acad.

* The stable homotopy groups

Their study is tightly linked ( via the Brown representability theorem ) to stable homotopy.

In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by, which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres.

The J-homomorphism is a homomorphism from the homotopy groups of orthogonal groups to stable homotopy groups of spheres, which causes the period 8 Bott periodicity to be visible in the stable homotopy groups of spheres.

The subject of stable homotopy theory was conceived as a simplification, by introducing the suspension ( smash product with a circle ) operation, and seeing what ( roughly speaking ) remained of homotopy theory once one was allowed to suspend both sides of an equation, as many times as one wished.

Bott's ( now somewhat awkward ) use of the word stable in the title of his seminal paper refers to these stable classical groups and not to stable homotopy groups.

The important connection of Bott periodicity with the stable homotopy groups of spheres comes via the so called stable J-homomorphism from the ( unstable ) homotopy groups of the ( stable ) classical groups to these stable homotopy groups.

If the predicted half-life falls into an experimentally accessible range, such isotopes have a chance to move from the list of stable nuclides to the radioactive category, once their activity is observed.

The patient's prognosis depends upon the category under which the underlying disorder falls ; depression and anxiety, for example, generally respond well to medication and / or cognitive behavioral therapy, whereas borderline personality disorder, like all personality disorders, is presumed to be pervasive and more stable over time, thus offers the worst or best prognosis.

This category ranges from from canoes and car toppers to rigid-hulled inflatables and stable, commercially built, inboard / outboard vessels.

The corresponding category is strongly stable under many categorical operations.

For a summary table showing the number of stable nuclides and of radioactive nuclides in each category, see radionuclide.

The stable homotopy category, or homotopy category of ( CW ) spectra is defined to be the category whose objects are spectra and whose morphisms are homotopy classes of maps between spectra.

Furthermore the stable homotopy category is triangulated ( Vogt ( 1970 )), the shift being given by suspension and the distinguished triangles by the mapping cone sequences of spectra

It makes the stable homotopy category into a monoidal category ; in other words it behaves like the tensor product of abelian groups.

The 1964 doctoral thesis of J. Michael Boardman gave a workable definition of a category of spectra and of maps ( not just homotopy classes ) between them, as useful in stable homotopy theory as the category of CW complexes is in the unstable case.

The topologist's stable homotopy category is another example of a triangulated category.

In modular representation theory of a finite group, the stable module category is yet another example.

The first category refers to relatively stable applicant traits.

These groups are actually the homotopy groups of an object corresponding to X in the stable homotopy category.

These assets include nine daily newspapers, such as The Dominion Post and Christchurch's The Press, two national Sunday papers, a stable of magazines with particular strength in the lifestyle category, a magazine publishing business and an internet operation.

The category of surplus product is a transhistorical economic category, meaning it applies to any society with a stable division of labour, and a significant labour productivity, regardless of how exactly that surplus product is produced, what it consists of, and how it is distributed.

This colt is behind most of the other 2-year-olds in the Simpson stable but can show about as much pace as any of them.

The last-named is one of the favorites in the stable, and the boys like her very much.

Lightweight, non-absorbent, fire resistant and dimensionally stable, it is easily bonded to the wood with contact cement.

and it is as if the only stable relation left among the different parts of the picture is the ambivalent and ambiguous one that each has with the surface.

It could be argued that any fellowship which centers in residential neighborhoods is doomed to become an expression of the panic for stable identity among the middle classes.

Due to the averaging it is far more stable than any clock would be alone ( see signal averaging for a discussion ).

Argon is chemically inert under most conditions and forms no confirmed stable compounds at room temperature.

Antimony is stable in air at room temperature, but reacts with oxygen if heated to form antimony trioxide, Sb < sub > 2 </ sub > O < sub > 3 </ sub >.

The most stable of these is < sup > 124 </ sup > Sb with a half-life of 60. 20 days, which has an application in some neutron sources.

The oxidation state + 3 originates from the 6d < sup > 1 </ sup > 7s < sup > 2 </ sup > electronic configuration of actinium, that is it easily donates 3 electrons assuming a stable closed-shell structure of the noble gas radon.

All of its isotopes are short-lived ; the most stable is astatine-210, with a half-life of 8. 1 hours.

Six astatine isotopes, with mass numbers of 214 to 219, are present in nature as the products of various decay routes of heavier elements, but neither the most stable isotope of astatine ( with mass number 210 ) nor astatine-211 ( which is used in medicine ) is produced naturally.

Among the first 101 elements in the periodic table, only francium is less stable.

The atomic nucleus contains a mix of positively charged protons and electrically neutral neutrons ( except in the case of hydrogen-1, which is the only stable nuclide with no neutrons ).

For such an online algorithm, a recurrence relation is required between quantities from which the required statistics can be calculated in a numerically stable fashion.

A numerically stable algorithm is given below.

For substances which have two ( or more ) stable crystalline forms, such as diamond and graphite for carbon, there is a kind of " chemical degeneracy ".

The subject of nearly all of Maillol's mature work is the female body, treated with a classical emphasis on stable forms.

Current hypotheses suggest that asexual reproduction may have short term benefits when rapid population growth is important or in stable environments, while sexual reproduction offers a net advantage by allowing more rapid generation of genetic diversity, allowing adaptation to changing environments.

trans-Cyclooctene is a stable strained alkene and the orbital misalignment is only 19 ° with a dihedral angle of 137 ° ( normal 120 °) and a degree of pyramidalization of 18 °.

The trans isomer of cycloheptene is only stable at low temperatures.

Although the permanency of acrylics is sometimes debated by conservators, they appear more stable than oil paints.