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ετυμολογία

Τι (ποιος) είναι locally unipotent - ορισμός

ONE PLUS NILPOTENT ELEMENT

Unipotent radical; Unipotent element; Unipotent matrix; Quasi-unipotent; Unipotent matrices; Unipotent group; Unipotent algebraic group; K-Unipotent groups for a field k and its completion; Unipotential

Unipotent

In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element; in other words, (r − 1)n is zero for some n.

https://en.wikipedia.org/wiki/Unipotent

Locally convex topological vector space

TYPE OF TOPOLOGICAL VECTOR SPACE

Locally convex; Locally convex space; Locally convex spaces; Locally convex topology; Locally convex basis; Locally convex vector space; LCTVS; Finest locally convex topology

In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. They can be defined as topological vector spaces whose topology is generated by translations of balanced, absorbent, convex sets.

https://en.wikipedia.org/wiki/Locally_convex_topological_vector_space

Semi-locally simply connected

Semilocally simply connected; Semi-locally simply connected space

In mathematics, specifically algebraic topology, semi-locally simply connected is a certain local connectedness condition that arises in the theory of covering spaces. Roughly speaking, a topological space X is semi-locally simply connected if there is a lower bound on the sizes of the “holes” in X.

https://en.wikipedia.org/wiki/Semi-locally_simply_connected

Βικιπαίδεια

Unipotent

In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element; in other words, (r − 1)ⁿ is zero for some n.

In particular, a square matrix M is a unipotent matrix if and only if its characteristic polynomial P(t) is a power of t − 1. Thus all the eigenvalues of a unipotent matrix are 1.

The term quasi-unipotent means that some power is unipotent, for example for a diagonalizable matrix with eigenvalues that are all roots of unity.

In the theory of algebraic groups, a group element is unipotent if it acts unipotently in a certain natural group representation. A unipotent affine algebraic group is then a group with all elements unipotent.

https://en.wikipedia.org/wiki/Unipotent