Small loop spaces and covering theory of non-homotopically Hausdorff spaces

In this paper we devote to spaces that are not homotopically hausdorff and study their covering spaces. We introduce the notion of small covering and prove that every small covering of $X$ is the universal covering in categorical sense. Also, we introduce the notion of semi-locally small loop space which is the necessary and sufficient condition for existence of universal cover for non-homotopically hausdorff spaces, equivalently existence of small covering spaces. Also, we prove that for semi-locally small loop spaces, $X$ is a small loop space if and only if every cover of $X$ is trivial if and only if $\pi_1^{top}(X)$ is an indiscrete topological group.Comment: 7 page

Spanier spaces and covering theory of non-homotopically path Hausdorff spaces

H. Fischer et al. (Topology and its Application, 158 (2011) 397-408.) introduced the Spanier group of a based space $(X,x)$ which is denoted by \psp. By a Spanier space we mean a space $X$ such that \psp=\pi_1(X,x), for every $x\in X$. In this paper, first we give an example of Spanier spaces. Then we study the influence of the Spanier group on covering theory and introduce Spanier coverings which are universal coverings in the categorical sense. Second, we give a necessary and sufficient condition for the existence of Spanier coverings for non-homotopically path Hausdorff spaces. Finally, we study the topological properties of Spanier groups and find out a criteria for the Hausdorffness of topological fundamental groups.Comment: 14 pages, 2 figures. arXiv admin note: text overlap with arXiv:1102.0993 by other author

On locally 1-connectedness of quotient spaces and its applications to fundamental groups

Let $X$ be a locally 1-connected metric space and $A_1,A_2,...,A_n$ be connected, locally path connected and compact pairwise disjoint subspaces of $X$. In this paper, we show that the quotient space $X/(A_1,A_2,...,A_n)$ obtained from $X$ by collapsing each of the sets $A_i$'s to a point, is also locally 1-connected. Moreover, we prove that the induced continuous homomorphism of quasitopological fundamental groups is surjective. Finally, we give some applications to find out some properties of the fundamental group of the quotient space $X/(A_1,A_2,...,A_n)$.Comment: 11 page

Effects of deoxynivalenol and deepoxy-deoxynivalenol on bovine ovarian theca cell function

La mycotoxine déoxynivalénol (DON) et son métabolite déépoxy-déoxynivalenol (DOM-1) ont des effets significatifs sur la modification de la fonction des cellules thècales de l’ovaire bovin. L'objectif de cette étude était d'identifier les différentes voies de signalisation impliquées dans le mécanisme d'action de DON et DOM-1 par la spectrométrie de masse. Méthodes: Les cellules thécales de l'ovaire bovin ont été récoltées à partir des vaches adultes, indépendamment du stade du cycle œstral, et ont été cultivées à une densité de 500000 cellules viables dans 1 ml de milieu de McCoy pendant 5 jours. Les cellules ont ensuite été traitées au jour 5 de la culture avec 1 ng/ml de DON ou DOM-1 pendant 30 minutes et des échantillons cellulaires de protéins totales ont été préparés pour spectrométrie de masse. Résultats: la spectrométrie de masse a montré que DON et DOM-1 induisent une surexpression simultanée de ERK1/2, MAPK14 (p38alpha) et MAPK13 (p38delta). La spectrométrie de masse a également indiqué que 94 peptides ont été surexprimés tels que GNGT1, EDN1 et YWHAB. Ils régulent la plupart des voies de prolifération des cellules et sont impliqués dans la biosynthèse des lipides et des glucides. Néanmoins, 255 peptides ont été régulés à la baisse, tels que CALR3, PTGES3, RAD21, ACVR2B et TGFBR1 dont leurs activités sont principalement l'activation ou la désactivation des processus apoptotiques, et le métabolisme du glucose et de la choline. Nos résultats montrent que DON et DOM-1, à une dose de 1 ng/ml, ont le potentiel de stimuler la surexpression de MAPK distinctes et réguler négativement les voies de signalisation spécifiques qui stimulent la prolifération les cellules de la thèque de l’ovaire de bovin.The mycotoxin deoxynivalenol (DON) and its metabolite deepoxy-DOM-1 have significant effects on bovine ovarian theca cell function. The objective of this study was to identify different signaling pathways involved in the mechanism of action of DON and DOM-1 by mass spectrometry. Methods: bovine ovarian theca cells were harvested from adult cows independently of the stage of the estrous cycle, and were cultured at a density of 500000 viable cells in 1 ml McCoy’s medium for 5 days. The cells were then treated on day 5 of culture with 1 ng/mL DON or DOM-1 for 30 minutes and total cell protein was collected for mass spectrometry. Results from mass spectrometry showed that both DON and DOM-1 induce simultaneous upregulation of ERK1/2 , MAPK14 (p38alpha) and MAPK13 (p38delta). Mass spectrometry also indicated that 94 peptides such as GNGT1, EDN1 and YWHAB were upregulated. They mostly regulate cell proliferation pathways and are involved in biosynthesis of lipid and carbohydrates. Nevertheless, 255 peptides such as CALR3, PTGES3, RAD21, ACVR2B and TGFBR1 were downregulated whose activities are mainly activation or deactivation of apoptotic processes, and glucose and choline metabolism. Our findings show that both DON and DOM-1 at least at a low dose (1 ng/ml) have the potential to stimulate upregulation of distinct MAPKs and downregulate specific signaling pathways that stimulate bovine ovarian theca cell proliferation

Fibrous Dysplasia of the Orbit in a 5-Year-Old Girl

Purpose: The aim of the present study was to describe a case oforbital fibrous dysplasia in a very young child.Case report: A 5-year-old girl presented with unilateral, painless,slowly progressive proptosis of the left eye and inferotemporalglobe displacement from about 1 year ago. The visual acuity inboth eyes was 20/20. The general physical examination was normal.Computed tomography (CT scan) revealed thickening and deformityof the orbital walls. Lateral orbitotomy and biopsy were performedand were compatible with fibrous dysplasia.Conclusion:   Craniofacial fibrous dysplasia usually occurs in thesecond decade of life, but it can also rarely present in the earlyyears of life. Therefore, fibrous dysplasia should be considered asa differential diagnosis of proptosis or globe displacement in theearly years of life.Keywords: Fibrous; Dysplasia; Orbit; Child; Iran