ALEXANDER-SPANIER COHOMOLOGY AND RINGS OF CONTINUOUS FUNCTIONS

Chern classes in Alexander-Spanier cohomology

In this article we construct explicit cocycles in the AlexanderSpanier cohomological complex, representing the Chern character of an element in K-theory

Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group

We prove that Alexander–Spanier cohomology H(X;G) with coefficients in a topological Abelian group G is isomorphic to the group of isomorphism classes of principal bundles with certain Abelian structure groups. The result holds if either X is a CW-space and G arbitrary or if X is metrizable or compact Hausdorff and G an ANR.

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

generalized rings of measurable and continuous functions

this paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

Concerning Rings of Continuous Functions