Chapter II Additive Groups

Book Id: WPLBN0000673861
Format Type: PDF eBook:
File Size: 5.56 MB
Reproduction Date: 2005

Title:	Chapter II Additive Groups
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Language:	English
Subject:	Science., Mathematics, Logic
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Citation APA MLA Chicago Chapter II Additive Groups. (n.d.). Chapter II Additive Groups. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: The content of this chapter consists of the group-theoretic material required later. All the groups are assumed topological, and everywhere except in a few places the topology is significant. Particular attention has been paid to the Pontrjagin duality theory and related group multiplication, which we will find most useful in connection with intersections. This need cause no surprise since group multiplication may be considered as obtained by abstraction from the Kronecker index or topological intersections. We have also devoted considerable space to inverse and direct systems and their limit-groups which will come very much to the fore in (VI, VII). In addition a full extension of the Pontrjagin theory is made to vector spaces over a field. General references: Alexander-Zippin [a], Chevalley [a], Freudenthal [a], van Kampen [a], Pontrjagin [P, b], Steenrod [a], Weil [W].