scholarly journals A nonlinear maximal group topology

2012 ◽  
Vol 229 (4) ◽  
pp. 2415-2426
Author(s):  
Yevhen Zelenyuk
Keyword(s):  
Group Topology ◽  
Maximal Group

scholarly journals A note on the duality of locally compact groups

1968 ◽  
Vol 9 (2) ◽  
pp. 87-91 ◽  
Author(s):  
J. W. Baker
Keyword(s):  
Abelian Group ◽  
Compact Group ◽  
Locally Compact Group ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Group Topology ◽  
Locally Compact ◽  
Natural Way

Let H be a group of characters on an (algebraic) abelian group G. In a natural way, we may regard G as a group of characters on H. In this way, we obtain a duality between the two groups G and H. One may pose several problems about this duality. Firstly, one may ask whether there exists a group topology on G for which H is precisely the set of continuous characters. This question has been answered in the affirmative in [1]. We shall say that such a topology is compatible with the duality between G and H. Next, one may ask whether there exists a locally compact group topology on G which is compatible with a given duality and, if so, whether there is more than one such topology. It is this second question (previously considered by other authors, to whom we shall refer below) which we shall consider here.

scholarly journals Group, basic assumptions and complexity science

2018 ◽  
Vol 52 (1) ◽  
pp. 3-22 ◽  
Author(s):  
Giulio de Felice ◽  
Giuseppe De Vita ◽  
Alessandro Bruni ◽  
Assunta Galimberti ◽  
Giulia Paoloni ◽  
...  
Keyword(s):  
Critical Points ◽  
Work Group ◽  
Complexity Science ◽  
Group Topology ◽  
Basic Assumptions ◽  
Psychoanalytic Literature ◽  
Group Mentality

This article represents the first complete systematization of the basic assumptions as theorized by Wilfred R. Bion and post-Bionian authors. The authors reviewed, compared and systematized all the Bionian developments concerning the basic assumptions taking the prevailing anxieties, group topology, leader peculiarities, interactions with the work-group mentality into account. The analysis evinced five main ba(s) and five subsets (i.e. their features resemble one of the five main basic assumptions). Briefly, in the first paragraph the authors summarize Bionian thought and its underlying logical criteria while in the second they reviewed all the new proposals for basic assumptions emerging from the psychoanalytic literature (i.e. Lawrence, Bain and Gould, 1996; Romano, 1997; Sandler, 2002; Sarno, 1999; Turquet, 1974; Hopper, 2009). In conclusion the authors focus on the main strengths and critical points of the systematization. In the last section ‘Promising developments’ they address the methodology of the study of basic assumptions, its main features and potential developments. The article rounds off with a clinical appendix.

Extensions of I-Bisimple Semigroups

1967 ◽  
Vol 19 ◽  
pp. 419-426 ◽  
Author(s):  
R. J. Warne
Keyword(s):  
Homomorphic Image ◽  
Natural Order ◽  
Isomorphism Theorem ◽  
Maximal Group ◽  
Homomorphism Theorem ◽  
Complete Determination ◽  
Explicit Determination ◽  
Usual Order

A bisimple semigroup S is called I-bisimple if Es, the set of idempotents of S, with its natural order is order-isomorphic to I, the set of integers, under the reverse of the usual order. In (9), the author completely determined the structure of I-bisimple semigroups mod groups; in this paper, he also gave an isomorphism theorem, a homomorphism theorem, an explicit determination of the maximal group homomorphic image, and a complete determination of the congruences for these semigroups.

scholarly journals Social and Play Behavior in a Wild Eastern Coyote, Canis latrans, Pack

2007 ◽  
Vol 121 (4) ◽  
pp. 397 ◽  
Author(s):  
Jonathan G. Way
Keyword(s):  
Group Size ◽  
Canis Latrans ◽  
Play Behavior ◽  
Maximal Group ◽  
Average Group ◽  
Specific Radio ◽  
Average Group Size

I had close and consistent observations of a wild eastern Coyote pack (Canis latrans) from January 2000 to August 2007. During this time, I obtained 3156 radio-locations on a specific radio-collared breeding male (“Sill”) and observed him and/or members of his pack on 375 occasions. The average group size = 3.0 ± 2.3 (SD) Coyotes with 1.9 ± 1.2 (SD) being adults and 1.1 ± 1.9 being pups. Maximal group size involved 12 Coyotes (9 pups, 3 adults). During these observations, Coyotes most often behaved in a friendly manner toward each other as indicated by 80 of my observations involving play between pups, and 15 involving play among adult Coyotes. On the evening of 6 July 2007 I observed the breeding male (>8 yr old), his mate (>5 yr old), one of their full-sized probable yearlings, and five pups playing intensely for 33 minutes. This paper details social and play behavior from this pack, especially from the 6 July 2007 observation.

The Meet Operator in the Lattice of Group Topologies

1986 ◽  
Vol 29 (4) ◽  
pp. 478-481
Author(s):  
Bradd Clark ◽  
Victor Schneider
Keyword(s):  
Topological Group ◽  
Abelian Group ◽  
Locally Compact Group ◽  
Group Topology ◽  
Locally Compact ◽  
Hausdorff Topology ◽  
Lattice Of Topologies ◽  
Group Form ◽  
Complemented Lattice ◽  
Infinite Abelian Group

AbstractIt is well known that the lattice of topologies on a set forms a complete complemented lattice. The set of topologies which make G into a topological group form a complete lattice L(G) which is not a sublattice of the lattice of all topologies on G.Let G be an infinite abelian group. No nontrivial Hausdorff topology in L(G) has a complement in L(G). If τ1 and τ2 are locally compact topologies then τ1Λτ2 is also a locally compact group topology. The situation when G is nonabelian is also considered.

scholarly journals Collective communication and behaviour in response to uncertain ‘Danger’ in network experiments

2020 ◽  
Vol 476 (2237) ◽  
pp. 20190685
Author(s):  
Hirokazu Shirado ◽  
Forrest W. Crawford ◽  
Nicholas A. Christakis
Keyword(s):  
Social Networks ◽  
Interpersonal Communication ◽  
Communication Networks ◽  
Social Information ◽  
Collective Communication ◽  
Group Topology ◽  
Individual Level ◽  
Social Coordination ◽  
The Individual ◽  
Actual Accuracy

In emergencies, social coordination is especially challenging. People connected with each other may respond better or worse to an uncertain danger than isolated individuals. We performed experiments involving a novel scenario simulating an unpredictable situation faced by a group in which 2480 subjects in 108 groups had to both communicate information and decide whether to ‘evacuate’. We manipulated the permissible sorts of interpersonal communication and varied group topology and size. Compared to groups of isolated individuals, we find that communication networks suppress necessary evacuations because of the spontaneous and diffuse emergence of false reassurance; yet, communication networks also restrain unnecessary evacuations in situations without disasters. At the individual level, subjects have thresholds for responding to social information that are sensitive to the negativity, but not the actual accuracy, of the signals being transmitted. Social networks can function poorly as pathways for inconvenient truths that people would rather ignore.

Completion of the group topology of a countable group

1990 ◽  
Vol 31 (1) ◽  
pp. 1-10 ◽  
Author(s):  
V. I. Arnautov ◽  
E. I. Kabanova
Keyword(s):  
Countable Group ◽  
Group Topology
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