nLab Lebesgue integration

Contents

Context

Integration theory

integration

analytic integration	cohomological integration
measurable space	Poincaré duality
measure	orientation in generalized cohomology
volume form	(virtual) fundamental class
Riemann/Lebesgue integration of differential forms	push-forward in generalized cohomology/in differential cohomology

Analytic integration

integral calculus

Riemann integration, Lebesgue integration

line integral/contour integration

integration of differential forms

integration over supermanifolds, Berezin integral, fermionic path integral

Kontsevich integral, Selberg integral, elliptic Selberg integral

Cohomological integration

integration in ordinary differential cohomology

integration in differential K-theory

Riemann-Roch theorem

Variants

Lie integration

Batalin-Vilkovisky integral

Contents

Idea
Related concepts
References

Idea

A method of integration.

Related concepts

Riemann integration

References

Named after Henri Lebesgue.

Wikipedia, Lebesgue integration

For Lebesgue integration in $\sigma$ -locales, see

Raquel Bernardes?, Lebesgue integration on $\sigma$ -locales: simple functions, (arXiv:2408.13911)

Last revised on August 30, 2024 at 13:51:49. See the history of this page for a list of all contributions to it.