Locally compact field information

In algebra, a locally compact field is a topological field whose topology forms a locally compact Hausdorff space. These kinds of fields were originally...

topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space. More precisely...

mathematics, a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups are...

physics, a locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group...

descriptions as a fallback Compact group – Topological group with compact topology Locally compact field Locally compact quantum group – relatively new...

that are smooth Locally compact field Locally compact group – topological group G for which the underlying topology is locally compact and Hausdorff, so...

mathematical areas, including harmonic analysis, topology, and number theory, locally compact abelian groups are abelian groups which have a particularly convenient...

Left-invariant (or right-invariant) measure on locally compact topological group Locally compact field Locally compact quantum group – relatively new C*-algebraic...

valuation v and if its residue field k is finite. Equivalently, a local field is a locally compact topological field with respect to a non-discrete topology...

space over the reals or a p-adic field. The Pontryagin dual of a locally compact abelian group is the locally compact abelian topological group formed...

and the disked hull of a compact set are both compact. More generally, if K {\displaystyle K} is a compact subset of a locally convex space, then the convex...

metricPages displaying wikidata descriptions as a fallback Locally compact field Locally compact quantum group – relatively new C*-algebraic approach toward...

every locally compact Hausdorff space X is an open dense subspace of a compact Hausdorff space having at most one point more than X. A nonempty compact subset...

redirect targets Locally compact field Locally compact group – topological group G for which the underlying topology is locally compact and Hausdorff, so...

kinds of fields. A field of either type has the property that all of its completions are locally compact fields (see local fields). Every field of either...

of locally compact or reductive Lie groups is an algebra of measures under convolution. It can also be defined for a pair (g,K) of a maximal compact subgroup...

require the base field to be spherically complete. Any locally compact field is spherically complete. This includes, in particular, the fields Qp of p-adic...

the term locally finite has different meanings in other mathematical fields. A finite collection of subsets of a topological space is locally finite. Infinite...

study of arithmetic hyperbolic 3-manifolds. Class field theory Kummer theory Locally compact field Tamagawa number Stark, pp. 145–146. Aczel, pp. 14–15...

ideal I (Eisenbud, Theorem 7.7). Formal scheme Profinite integer Locally compact field Zariski ring Linear topology Quasi-unmixed ring "Stacks Project...

Equivalently, a locally profinite group is a topological group that is Hausdorff, locally compact, and totally disconnected. Moreover, a locally profinite group...

In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant...

normed space X is compact in the weak topology if and only if X is reflexive. In more generality, let F be locally compact valued field (e.g., the reals...

every compact Riemann surface can be embedded into complex projective 3-space. This is a surprising theorem: Riemann surfaces are given by locally patching...

∞. The map c is a Hausdorff compactification if and only if X is a locally compact, noncompact Hausdorff space. For such spaces the Alexandroff extension...