An euler-poincare characteristic for 1-connected spaces with noetherian rational cohomology

1988 ◽  
pp. 124-137
Author(s):  
Y. Félix ◽  
J. C. Thomas
Keyword(s):  
Rational Cohomology ◽  
Connected Spaces

Exploring ‘digital placemaking’

2021 ◽  
Vol 27 (3) ◽  
pp. 573-578
Author(s):  
Germaine Halegoua ◽  
Erika Polson
Keyword(s):  
Digital Media ◽  
Sense Of Place ◽  
Media Use ◽  
Special Issue ◽  
Social Actors ◽  
Broad Framework ◽  
The Many ◽  
And Control ◽  
Connected Spaces

This brief essay introduces the special issue on the topic of ‘digital placemaking’ – a concept describing the use of digital media to create a sense of place for oneself and/or others. As a broad framework that encompasses a variety of practices used to create emotional attachments to place through digital media use, digital placemaking can be examined across a variety of domains. The concept acknowledges that, at its core, a drive to create and control a sense of place is understood as primary to how social actors identify with each other and express their identities and how communities organize to build more meaningful and connected spaces. This idea runs through the articles in the issue, exploring the many ways people use digital media, under varied conditions, to negotiate differential mobilities and become placemakers – practices that may expose or amplify preexisting inequities, exclusions, or erasures in the ways that certain populations experience digital media in place and placemaking.

ON HOMOLOGICALLY LOCALLY CONNECTED SPACES

1981 ◽  
Vol 17 (3) ◽  
pp. 601-614 ◽  
Author(s):  
E G Skljarenko
Keyword(s):  
Connected Spaces

Connected Spaces without Derivations

1983 ◽  
Vol 15 (4) ◽  
pp. 349-352
Author(s):  
C. J. K. Batty
Keyword(s):  
Connected Spaces

On the geometry of the (2n+1)-webs in 2n-dimensional affinely connected spaces A2n

1990 ◽  
Vol 39 (1-2) ◽  
pp. 192-200
Author(s):  
Georgy Zlatanov
Keyword(s):  
Connected Spaces

scholarly journals On some kinds of fuzzy connected spaces

2007 ◽  
Vol 52 (4) ◽  
pp. 353-361
Author(s):  
Qutaiba Ead Hassan
Keyword(s):  
Connected Spaces

scholarly journals Holomorphic Cohomology of Complex Analytic Linear Groups

1966 ◽  
Vol 27 (2) ◽  
pp. 531-542 ◽  
Author(s):  
G. Hochschild ◽  
G. D. Mostow
Keyword(s):  
Linear Group ◽  
Structure Theory ◽  
Linear Groups ◽  
Dimensional Representation ◽  
Lie Algebra Cohomology ◽  
Analytic Group ◽  
Finite Dimensional Representation ◽  
Semidirect Products ◽  
Finite Dimensional ◽  
Rational Cohomology

Let G be a complex analytic group, and let A be the representation space of a finite-dimensional complex analytic representation of G. We consider the cohomology for G in A, such as would be obtained in the usual way from the complex of holomorphic cochains for G in A. Actually, we shall use a more conceptual categorical definition, which is equivalent to the explicit one by cochains. In the context of finite-dimensional representation theory, nothing substantial is lost by assuming that G is a linear group. Under this assumption, it is the main purpose of this paper to relate the holomorphic cohomology of G to Lie algebra cohomology, and to the rational cohomology, in the sense of [1], of algebraic hulls of G. This is accomplished by using the known structure theory for complex analytic linear groups in combination with certain easily established results concerning the cohomology of semidirect products. The main results are Theorem 4.1 (whose hypothesis is always satisfied by a complex analytic linear group) and Theorems 5.1 and 5.2. These last two theorems show that the usual abundantly used connections between complex analytic representations of complex analytic groups and rational representations of algebraic groups extend fully to the superstructure of cohomology.

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