TECK/CCL25 by Catron D.J., Zlotnik A.

By Catron D.J., Zlotnik A.

TECK/CCL25 (thymus-expressed chemokine) is expressed in a hugely particular type by way of thymic stromal cells and at reduce degrees within the small gut. it really is most likely interested by T telephone improvement and/or in thymic structure. it truly is categorized within the CC or β subfamily of chemokines. it's now unique CCL25 in accordance with the hot chemokine nomenclature. TECK/CCL25 is chemotactic for activated macrophages, thymocytes, and maybe dendritic cells in vitro. Mouse TECK/CCL25 is found on chromosome eight and human TECK/CCL25 is found in a syntenic quarter in chromosome 19pl3.2. it really is produced through thymic dendritic cells and epithelial cells. CCR9, previously often called GPR9-6, has been pointed out because the TECK/CCL25 receptor.

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This gives us the model category of (s, p)-spectra on Sm/k. The homotopy category is denoted by SH(k). If E = (E0 , E1 , . ) is a P1 -spectrum, we can form the associated (s, p)-spectrum by taking ∞ 1 the term-wise (simplicial) suspension spectra (Σ∞ s E0 , Σs E1 , . ). If E = (E0 , E1 , . ) is a P -Ω1 spectrum, the maps n : En → ΩP1 En +1 induce by adjointness the maps n : P ∧ En → En +1 , forming the associated (s, p)-spectrum. Similarly, if E = ((E0 , E1 , . ), n ) is an (s, p)-spectrum, we have by adjointness the maps n : En → ΩP1 En +1 ; if E is fibrant, this forms a P1 -Ωspectrum.

Taking the product over X gives the map d d Cyc (X) ∧ Cyc (X) → Cyc d+d (X), which thus gives us the bonding morphisms d P1 ∧ Cyc (X) → Cyc d+1 (X). This structure defines the P1 -spectrum HZ; in characteristic zero, HZ is represented by the symmetric powers of (P1 )∧d in the evident way. 251 THE HOMOTOPY CONIVEAU TOWER The associated P1 -Ω-spectrum Ω∗P1 HZ is equivalent to the sequence of Bloch motivic cohomology presheaves (Z 0 , Z 1 , . . 5). A direct map relating the two constructions is given as follows: Send W ∈ Cycd (X × ∆n ) to the cycle W ∈ z d ((P1 )d × X, n), which we then restrict to W 0 ∈ z d (Ad × X, n) (with A1 = P1 \ {∞}).

Maps are maps of sequences respecting the maps in part (ii). We denote the category of P1 spectra over X by SptP1 (X). Finally, we have the category of (s, p)-spectra over X. 3. The category Spt(s,p) (X) has objects sequences E := (E0 , E1 , . ) of presheaves En ∈ Spt(X), together with bonding morphisms n : ΣP1 En → En +1 . Maps are sequences of maps in Spt(k) respecting the bonding morphisms. The P1 -Ω-spectra over X form a full subcategory of Spt(s,p) (X) by replacing the bonding maps with their adjoints.

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