What question did this study set out to answer?

The aim is to establish a one-to-one correspondence between isomorphism classes of definable G vector bundles and definable vector bundles over a quotient set.

June 4, 2026Open Access

Definable G vector bundles over a definable G set with free action

View Full Paper

Ask AI

Bookmark

The aim is to establish a one-to-one correspondence between isomorphism classes of definable G vector bundles and definable vector bundles over a quotient set.
Definition of definable G vector bundles and characterizing their properties.
Analysis of free actions on definable G sets.
Establishment of a bijection correlating the classes of bundles.
Proven correspondence between isomorphism classes of definable G vector bundles and definable bundles over X/G.
Demonstrated the consistency of the correspondence under free action conditions.

Implication

Proves a correspondence between definable G vector bundles over a G set and their counterparts after a free action.

Abstract

We prove that the set of isomorphism classes of definable G vector bundles over a definable G set X is in one-to-one correspondence to that of definable vector bundles over a definable set X/G when the action on X is free.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Tomohiro KAWAKAMI (2017) studied this question.

synapsesocial.com/papers/6a211591d499ed480b16e95b https://doi.org/10.19002/an00257977.67.7

View Full Paper

Ask AI

Bookmark

Implication

Proves a correspondence between definable G vector bundles over a G set and their counterparts after a free action.

Definable G vector bundles over a definable G set with free action

Key Points

Implication

Abstract

Discussion

Cite This Study

Definable G vector bundles over a definable G set with free action

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading