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Compact manifolds with computable boundaries [PDF]
We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable ...
Zvonko Iljazovic
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SVDiff: Compact Parameter Space for Diffusion Fine-Tuning [PDF]
Diffusion models have achieved remarkable success in text-to-image generation, enabling the creation of high-quality images from text prompts or other modalities.
Ligong Han +5 more
semanticscholar +1 more source
Covering a compact space by fixed-radius or growing random balls [PDF]
. Simple random coverage models, well studied in Euclidean space, can also be defined on a general compact metric space S . In one specific model, “seeds" arrive as a Poisson process (in time) at random positions with some distribution θ on S , and create ...
D. Aldous
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On ∂-partial-locally compact space [PDF]
The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
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Remarks on monotonically star compact spaces [PDF]
A space $ X $ is said to be monotonically star compact if one assigns to each open cover $ \mathcal{U} $ a subspace $ s(\mathcal{U}) \subseteq X $, called a kernel, such that $ s(\mathcal{U}) $ is a compact subset of $ X $ and $ {\rm St}(s(\mathcal{U ...
Sumit Singh
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Some classes of topological spaces related to zero-sets
An almost P-space is a topological space in which every zero-set is regular-closed. We introduce a large class of spaces, C-almost P-space (briefly CAP-space), consisting of those spaces in which the closure of the interior of every zero-set is a zero ...
F. Golrizkhatami, Ali Taherifar
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New Characterizations of C-compact Spaces [PDF]
Some new properties and characterizations of C-compact spaces are ...
Atallah Th. Al-Ani
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Lindelof spaces, using multifunctions, are given.Our main results are .A space X is z-compact iff for every space Y and z-closed graph multifunction on X into Y the image of every z-closed set in X, is closed in Y. A space X is z-Lindelof iff for every P-
Atallah Th. Al-Ani
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On elementary soft compact topological spaces
This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖-soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuousmapping is 𝜖-soft compact space.
Arzıgul İmankulova, İsmet Altıntaş
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The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form [PDF]
Let $M=S^n/ \Gamma$ and $h$ be a nontrivial element of finite order $p$ in $\pi_1(M)$, where the integer $n\geq2$, $\Gamma$ is a finite group which acts freely and isometrically on the $n$-sphere and therefore $M$ is diffeomorphic to a compact space form.
Hui Liu, Y. Long, Yuming Xiao
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