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Embryonic perfect repair inspired electrospun nanofibers dressing with temperature-sensitive and antibacterial properties for wound healing [PDF]
Frontiers in Microbiology, 2023 IntroductionThe development of highly effective wound dressings is crucial for successful clinical applications. Achieving wound closure, preventing infection, and minimizing scarring are key objectives in wound healing.
Qinbing Qi +4 more
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Large Contractible Subgraphs of a 3-Connected Graph
Discussiones Mathematicae Graph Theory, 2021 Let m ≥ 5 be a positive integer and let G be a 3-connected graph on at least 2m + 1 vertices. We prove that G has a contractible set W such that m ≤ W ≤ 2m − 4.
Karpov Dmitri V.
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When is the space of semi-additive functionals an absolute (neighbourhood) retract?
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space.
Adilbek Atakhanovich Zaitov +1 more
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On Fuzzy F∗-Simply Connected Spaces in Fuzzy F∗-Homotopy
Journal of Function Spaces, 2022 In this paper, the notions of fuzzy F∗-simply connected spaces and fuzzy F∗-structure homeomorphisms are introduced, and further fuzzy F∗-structure homeomorphism between fuzzy F∗-path-connected spaces are studied.
V. Madhuri +3 more
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A Model of Directed Graph Cofiber
Axioms, 2022 In the homotopy theory of spaces, the image of a continuous map is contractible to a point in its cofiber. This property does not apply when we discretize spaces and continuous maps to directed graphs and their morphisms.
Zachary McGuirk, Byungdo Park
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AKCE International Journal of Graphs and Combinatorics, 2018 Let G be a 4-connected graph, and let E ̃ (G) denote the set of those edges of G which are not contained in a triangle, and let E c (G) denote the set of 4-contractible edges of G . We show that if 3 ≤ | E ̃ (G) | ≤ 4 or | E ̃ (G) | ≥ 7 , then | E c (G) |
Yoshimi Egawa +2 more
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An approach to Quillen’s conjecture via centralisers of simple groups
Forum of Mathematics, Sigma, 2021 For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
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Fixed point sets of maps homotopic to a given map
Fixed Point Theory and Applications, 2006 Let f:X→X be a self-map of a compact, connected polyhedron and Φ⊆X a closed subset. We examine necessary and sufficient conditions for realizing Φ as the fixed point set of a map homotopic to f. For the case where Φ is a subpolyhedron,
Christina L. Soderlund
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Contractibility of the digital $n$-space
Applied General Topology, 2015 The aim of this paper is to prove a known fact that the digital line is cotractible. Hence we have that the digital space $({\bf Z}^{n}, \kappa^{n})$ is also cotractible where $({\bf Z}^{n}, \kappa^{n})$ is $n$ products of the digital line $({\bf Z ...
Sayaka Hamada
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A counter example on a Borsuk conjecture
Applied General Topology, 2023 The study of shape restrictions of subsets of Rd has several applications in many areas, being convexity, r-convexity, and positive reach, some of the most famous, and typically imposed in set estimation. The following problem was attributed to
Alejandro Cholaquidis
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