Remarks on the behaviour of higher-order derivations on the gluing of differential spaces

Title:

Remarks on the behaviour of higher-order derivations on the gluing of differential spaces

Creator:

Drachal, Krzysztof

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0e22d000-dc68-4adb-bebe-a923b0121163
uuid:0e22d000-dc68-4adb-bebe-a923b0121163
issn:0011-4642

Subject:

matematika, mathematics, gluing of differential space, higher-order differential geometry, Sikorski differential space, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

This paper is about some geometric properties of the gluing of order k in the category of Sikorski differential spaces, where k is assumed to be an arbitrary natural number. Differential spaces are one of possible generalizations of the concept of an infinitely differentiable manifold. It is known that in many (very important) mathematical models, the manifold structure breaks down. Therefore it is important to introduce a more general concept. In this paper, in particular, the behaviour of kth order tangent spaces, their dimensions, and other geometric properties, are described in the context of the process of gluing differential spaces. At the end some examples are given. The paper is self-consistent, i.e., a short review of the differential spaces theory is presented at the beginning., Krzysztof Drachal., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1137-1154

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false