# How Charles Ehresmann's vision of geometry developed with time

Banach Center Publications (2007)

- Volume: 76, Issue: 1, page 29-34
- ISSN: 0137-6934

## Access Full Article

top## Abstract

top## How to cite

topAndrée C. Ehresmann. "How Charles Ehresmann's vision of geometry developed with time." Banach Center Publications 76.1 (2007): 29-34. <http://eudml.org/doc/282216>.

@article{AndréeC2007,

abstract = {In the mid fifties, Charles Ehresmann defined Geometry as "the theory of more or less rich structures, in which algebraic and topological structures are generally intertwined". In 1973 he defined it as the theory of differentiable categories, their actions and their prolongations. Here we explain how he progressively formed this conception, from homogeneous spaces to locally homogeneous spaces, to fibre bundles and foliations, to a general notion of local structures, and to a new foundation of differential geometry based on groupoids of jets and their actions. These successive generalizations led him to a turning point in the late fifties toward a categorical framework to which he devoted the rest of his life.},

author = {Andrée C. Ehresmann},

journal = {Banach Center Publications},

language = {eng},

number = {1},

pages = {29-34},

title = {How Charles Ehresmann's vision of geometry developed with time},

url = {http://eudml.org/doc/282216},

volume = {76},

year = {2007},

}

TY - JOUR

AU - Andrée C. Ehresmann

TI - How Charles Ehresmann's vision of geometry developed with time

JO - Banach Center Publications

PY - 2007

VL - 76

IS - 1

SP - 29

EP - 34

AB - In the mid fifties, Charles Ehresmann defined Geometry as "the theory of more or less rich structures, in which algebraic and topological structures are generally intertwined". In 1973 he defined it as the theory of differentiable categories, their actions and their prolongations. Here we explain how he progressively formed this conception, from homogeneous spaces to locally homogeneous spaces, to fibre bundles and foliations, to a general notion of local structures, and to a new foundation of differential geometry based on groupoids of jets and their actions. These successive generalizations led him to a turning point in the late fifties toward a categorical framework to which he devoted the rest of his life.

LA - eng

UR - http://eudml.org/doc/282216

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.