scholarly journals Defining Surface Types of Mars Using Global CRISM Summary Product Maps

2020 ◽  
Vol 125 (8) ◽  
Author(s):  
O. M. Kamps ◽  
R. D. Hewson ◽  
F. J. A. Ruitenbeek ◽  
F. D. Meer
Keyword(s):  
Product Maps

Parabolic invariant tori in quasi-periodically forced skew-product maps

2021 ◽  
Vol 277 ◽  
pp. 234-274
Author(s):  
Xinyu Guan ◽  
Jianguo Si ◽  
Wen Si
Keyword(s):  
Invariant Tori ◽  
Skew Product ◽  
Product Maps

scholarly journals A note on the dynamics of cyclically permuted direct product maps

2016 ◽  
Vol 203 ◽  
pp. 147-158 ◽  
Author(s):  
Antonio Linero Bas ◽  
Gabriel Soler López
Keyword(s):  
Direct Product ◽  
Product Maps

scholarly journals UNCOVERING PRODUCTION FLOWS FROM SMALL FARMS: RESULTS FROM POLAND AND PORTUGAL CASE STUDIES

2019 ◽  
Vol XXI (3) ◽  
pp. 49-61
Author(s):  
Marta Czekaj ◽  
Paola Hernández ◽  
Ana Fonseca ◽  
Maria Rivera ◽  
Katarzyna Żmija ◽  
...  
Keyword(s):  
Focus Groups ◽  
Qualitative Data ◽  
Food System ◽  
Food Product ◽  
Small Farmers ◽  
Small Farms ◽  
Regional Food ◽  
Product Maps ◽  
The Impact

This study is an attempt to assess the impact of small farms (SF) on the regional food product circulation of specific key products in selected, fragmented, agrarian regions in Poland and Portugal. The empirical study is based on the analysis of food product maps which were developed based on data from a survey conducted among owners of small farms and small food businesses at focus group meetings and workshops organized in 2017 and 2018 in the Nowotarski and Nowosądecki subregions in Poland and in the Alentejo Central and Oeste subregions in Portugal. Qualitative data analysis was conducted using uniform methodology. In each of the subregions, focus groups helped to confront the assumptions resulting from surveys and corroborate the flows and fluxes described in the developed food product maps. Data collected during focus groups were enriched by data gathered during regional workshops that focused on food system governance. It was concluded that food product maps indicate interesting relationship flows of small farmers’ products along the food system, highlighting the role of fluxes connecting small farmers with other actors regarding specific key products. Several similarities and disparities between regional KP production flows in the Portuguese and Polish subregions, based on the type of key product, the various distribution channels and farming capacities present in each subregion were observed.

A note on a problem on ω-limit sets ofN–dimensional skew-product maps

2010 ◽  
Vol 87 (6) ◽  
pp. 1228-1232
Author(s):  
Juan Luis García Guirao ◽  
Fernando López Pelayo
Keyword(s):  
Skew Product ◽  
Limit Sets ◽  
Product Maps

Product Maps and Countable Paracompactness

1972 ◽  
Vol 24 (6) ◽  
pp. 1187-1190 ◽  
Author(s):  
Harold W. Martin
Keyword(s):  
Usual Topology ◽  
Continuous Surjection ◽  
Product Maps ◽  
Countable Paracompactness

In all that follows, we let S denote the space {0, 1, 1/2, … , 1/n, …} with the relative usual topology and i : S → S denote the identity map on S. In this note, by a map or mapping we always mean a continuous surjection. A map f : X → Y is said to be hereditarily quotient if y ∊ int f(V) whenever V is open in X and f-1(y) ⊂ V. E. Michael has defined a map f : X → Y to be bi-quotient if whenever is a collection of open sets in X which covers f-1(y), there exists finitely many f(V), with V ∊ , which cover some neighbourhood of y.

scholarly journals Circle diffeomorphisms forced by expanding circle maps

2011 ◽  
Vol 32 (6) ◽  
pp. 2011-2024 ◽  
Author(s):  
ALE JAN HOMBURG
Keyword(s):  
Natural Extension ◽  
Skew Product ◽  
Circle Maps ◽  
Expanding Circle ◽  
Topologically Mixing ◽  
Almost All ◽  
Open Class ◽  
Product Maps ◽  
Circle Diffeomorphisms

AbstractWe discuss the dynamics of skew product maps defined by circle diffeomorphisms forced by expanding circle maps. We construct an open class of such systems that are robustly topologically mixing and for which almost all points in the same fiber converge under iteration. This property follows from the construction of an invariant attracting graph in the natural extension, a skew product of circle diffeomorphisms forced by a solenoid homeomorphism.

scholarly journals Index conditions and cup-product maps on Abelian varieties

2014 ◽  
Vol 25 (04) ◽  
pp. 1450036 ◽  
Author(s):  
Nathan Grieve
Keyword(s):  
Asymptotic Behavior ◽  
Abelian Variety ◽  
Vector Bundles ◽  
Abelian Varieties ◽  
General Setting ◽  
Index Theorem ◽  
Line Bundles ◽  
One Dimensional ◽  
Cup Product ◽  
Product Maps

We study questions surrounding cup-product maps which arise from pairs of non-degenerate line bundles on an abelian variety. Important to our work is Mumford's index theorem which we use to prove that non-degenerate line bundles exhibit positivity analogous to that of ample line bundles. As an application we determine the asymptotic behavior of families of cup-product maps and prove that vector bundles associated to these families are asymptotically globally generated. To illustrate our results we provide several examples. For instance, we construct families of cup-product problems which result in a zero map on a one-dimensional locus. We also prove that the hypothesis of our results can be satisfied, in all possible instances, by a particular class of simple abelian varieties. Finally, we discuss the extent to which Mumford's theta groups are applicable in our more general setting.

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