In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help
and encouragement which I have had from all sides. Homological algebra arose from many …

Uniform spaces play the same role for uniform continuity as topological spaces for continuity.
The theory was created in 1936 by A. Weil, whose original axiomatization was soon followed …

1. Introduction.-If A and B are modules over a fixed ring, a homomorphism a: S--B/L of a
submodule S of A into a quotient module of B may be regarded as a" many-valued" …

Abstract top ContentsIntroduction....................................................................................... 31.
Ideals............................................................................................. 52. Completeness …

LET T be a topology (ie, a collection of open sets) on a set X. Consider T as a category in
which the objects are the open sets and such that there is a unique 'restriction'morphism U-+ …

Abstract “Man is a being, intelligent and gifted with the faculty of comprehending the
abstract. Thanks to this faculty, man has conceived the ideal, and realized poesy; he has …

Given a Tychonoff space X and classes U and V of topological groups, we say that a
topological group G= G (X, U, V) is a free (U, V)-group over X if (a) X is a subspace of G,(b) G …

In this paper we give an algebraic description of the category of $ n $-slices for an arbitrary
group $ G $, in the sense of Hill-Hopkins-Ravenel. Specifically, given a finite group $ G …

Our objective is to show a possibly interesting structure of homotopic nature appearing in
persistent (co) homology. Assuming that the filtration of a simplicial set embedded in R^ n R …

Within the class of Tychonoff spaces, and within the class of topological groups, most of the
natural questions concerning 'productive closure'of the subclasses of countably compact …