On The Cohomology of Categories

Georges Hoff

doi:10.1501/Commua1_0000000638

EN

On The Cohomology of Categories

Abstract

We have started our study of the cohomology of categories [1] in particularizing a note of C. Ehresmann [2]. Then, our wislı was to put together, in a same work, our original study and the theory of M. Andre [3 ]. The result is the text herewith presen- ted. In the first chapter, we construct a homology and a coho- mology of categories. The cohomology is a generalization (dif- ferent of the one defined in [2]) of the cohomology considered in [1]. The homology is the very same as the one defined in [3]. In the second chapter, we particularize the previous theory in order to obtain a cohomology of the smaU categories which generalizes the classical cohomology of the groups, a group heing a particular category. These two chapters are written in a different mind; conse- quently, we have judged useful to differentiate their notations. We could use also the tools herewith introduced, for example, in a generalization of the study of the groups operating on topo- logical spaces; this wiU be the subject of an other publication.

Keywords

References

Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Georges Hoff This is me
Türkiye

Publication Date

January 1, 1973

Submission Date

January 1, 1973

Acceptance Date

-

Published in Issue

Year 1973 Volume: 22

DOI

https://doi.org/10.1501/Commua1_0000000638

IZ

https://izlik.org/JA96HJ78FK

Cite

RIS / Bibtex

APA

Hoff, G. (1973). On The Cohomology of Categories. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 22. https://doi.org/10.1501/Commua1_0000000638

AMA

1.Hoff G. On The Cohomology of Categories. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1973;22. doi:10.1501/Commua1_0000000638

Chicago

Hoff, Georges. 1973. “On The Cohomology of Categories”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 22 (January). https://doi.org/10.1501/Commua1_0000000638.

EndNote

Hoff G (January 1, 1973) On The Cohomology of Categories. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 22

IEEE

[1]G. Hoff, “On The Cohomology of Categories”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 22, Jan. 1973, doi: 10.1501/Commua1_0000000638.

ISNAD

Hoff, Georges. “On The Cohomology of Categories”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 22 (January 1, 1973). https://doi.org/10.1501/Commua1_0000000638.

JAMA

1.Hoff G. On The Cohomology of Categories. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1973;22. doi:10.1501/Commua1_0000000638.

MLA

Hoff, Georges. “On The Cohomology of Categories”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 22, Jan. 1973, doi:10.1501/Commua1_0000000638.

Vancouver

1.Georges Hoff. On The Cohomology of Categories. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1973 Jan. 1;22. doi:10.1501/Commua1_0000000638