Homotopie f�r Okasche Paare von Garben homogener R�ume

Hayes, Sandra

doi:10.1007/bf01350598

Cited by 6 publications

(2 citation statements)

References 14 publications

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“…Given the results above, we focused our test of the effect of condition on well-being via within-person variability in expectations on two potential mediation models: condition predicting worry and negative emotions via Total Changes. 10 We conducted mediation analyses using the PROCESS macro for R (v.4.0.3; Hayes, 2020). This method uses bootstrapping procedures to test the indirect effect of the independent variable (condition) on the dependent variable (worry; negative emotion) through the mediator (Total Changes).…”

Section: Resultsmentioning

confidence: 99%

Volatility in Expectations While Awaiting Important News

Wilson

Sweeny

2023

Pers Soc Psychol Bull

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Waiting for important news is uniquely anxiety provoking, and expectations for one’s outcome fluctuate throughout the wait. Emotional volatility is typically associated with negative outcomes, but little is known about volatility in expectations. In Study 1, law graduates ( N = 248) estimated their chances of passing the bar exam every 2 weeks during the wait for results. Greater volatility in expectations, operationalized as the frequency with which outcome expectations changed during the wait, was associated with greater worry and more negative emotionality throughout the wait. Study 2 partially replicated these findings in a sample of Trump and Biden supporters ( N = 444) awaiting the result of the 2020 presidential election. Study 2 also demonstrated a causal link between constrained (vs. volatile) expectations and worry. Our findings have implications for how best to manage one’s expectations while awaiting important news, with the goal of minimizing worry and other negative emotions.

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Section: Resultsmentioning

confidence: 99%

Volatility in Expectations While Awaiting Important News

Wilson

Sweeny

2023

Pers Soc Psychol Bull

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“…Bundles and the Serre Conjecture Sheaves of homogeneous spaces, i.e., sheaves of topological spaces with a fiberwise transitive action of a sheaf of topological groups, are considered in the work of Hayes [129]. Generalizing the concept introduced by Forster and Ramspott [$55], the author introduces the concept of an Oka pair of sheaves of homogeneous spaces.…”

Section: Holomorphicmentioning

confidence: 99%

Pseudoconvexity in the theory of complex spaces

Onishchik¹

1980

J Math Sci

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The survey is devoted to various aspects of the theory of complex spaces related to the concept of pseudoconvexity, positive and negative vector bundles, and their generalizations.The present survey is devoted to various aspects of the theory of complex spaces connected with the concept of pseudoconvexity. The p-convex (or p-pseudoconvex) and q-concave spaces comprise a broad class of complex spaces which includes both Stein spaces as well as compact complex spaces; they were first introduced and studied in the work of Andreotti and Grauert [23] in 1962. The second chapter of the survey is devoted to the theory of these spaces which is itself a further development of the ideas related to the Levi problem. In the third chapter works are considered which are devoted to positive and negative vector bundles and their generalizations the study of which is strongly connected with the theory of pseudoconvexity. One of the applications of positive and negative bundles is criteria that a compact complex space be algebraic (Kodaira [195], Grauert [106]); here analytic geometry is closely coupled with algebraic geometry.In Chaps. II and IIIa survey is given of work on the topic indicated above which was reviewed in Referativnyi Zhurnal "Matematika" between January 1964 and January 1977; some later work is also considered. Chapter I is a direct continuation of the survey [8] devoted to Stein spaces and to which the entire present survey is closely related. In all cases unless otherwise specified we use the terminology of the paper [8]. In references to the bibliography of this paper the corresponding number is equipped with the letter S {e.g., [$29]).We note that our survey does not touch on a number of important areas of the theory of complex spaces related to the ideas of pseudoconvexity. These include the following questions: the theory of functions in pseudoconvex domains continuous up to the boundary or satisfying other boundary conditions (in this regard see the survey paper [11]) and also the eohomology theory of coherent analytic sheaves with estimates; various aspects of the theory of CR-manifolds; the differential calculus on complex spaces; duality theory. We also nearly fail to consider the theory of hulls of holomorphy and the theory of extension of analytic objects.We note several books on analytic geometry which have appeared since 1970. The book of Fischer [80] contains the foundations of the theory of complex spaces and their holomorphic mappings, in particular, the theory of Stein spaces, differential calculus, the theory of flat mappings, and the theory of meromorphic functions. Many theorems are presented there without proofs. Certain important areas of the theory which have been worked out in recent years are expounded in the book of Banica and Stanasila [36]: local eohomologies, finiteness theorems for proper and projective mappings, flat mappings, and the duality theory. The new edition of HSrmander's book [144] does not differ in any significant way from the previous edition. The books of Morrow a...

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Equivalence of Steinness and Validity of Oka's principle for subdomains fo Stein manifolds

Leiterer¹

1979

Math. Nachr.

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K. OKA [ll] proved in 1939 that every continuously solvable COUSIN-I1 problem on a domain of holomorphy is also holomorphically solvable. This principle characterizes analytic properties topologically and was called by J.-P. SERRE OKA'S principle. I n 1957 H. GRAUERT [5] obtained a profound generalization of this principle, which asserts, in particular, that the holomorphic and the topologic classifications of vector bundles over a STEIN space coincide. In future H. GRAUERT'S result was developed in several directions (see, for example, [12], [4], [2], [8], [6], [lo]). I n the present paper we investigate the converse problem whether from the validity of OKA'B principle follows Smmmess or not. As it was remarked in [7], [9], this question was recently posed by K. SHIGA to J. KAJIWARA. A similar question with respect to punctured polydiscs recently was posed by V. P. PALAMODOV to the author.

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Homotopie f�r Okasche Paare von Garben homogener R�ume

Cited by 6 publications

References 14 publications

Volatility in Expectations While Awaiting Important News

Volatility in Expectations While Awaiting Important News

Pseudoconvexity in the theory of complex spaces

Equivalence of Steinness and Validity of Oka's principle for subdomains fo Stein manifolds

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