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Topologizing Rings of Map Germs: An Order Theoretic Analysis of Germs via Nonstandard Methods
map germ topology nonstandard
2012/6/19
Using nonstandard analysis we define a topology on the ring of germs of functions: $(mathbb R^n,0)\rightarrow(mathbb R,0)$. We prove that this topology is absolutely convex, Hausdorff, that convergent...
The Witten-Reshetikhin-Turaev invariants of finite order mapping tori II
The Witten-Reshetikhin-Turaev invariants finite order mapping tori II Geometric Topology
2011/8/31
Abstract: We identify the leading order term of the asymptotic expansion of the Witten-Reshetikhin-Turaev invariants for finite order mapping tori with classical invariants for all simple and simply-c...
Order-theoretic properties of bases in topological spaces I
Noetherian type Open in finite OIF product box product
2011/2/22
We study some cardinal invariants of an order-theoretic fashion on products and box products of topological spaces. In particular, we concen-trate on the Noetherian type (Nt), defined by Peregudov in ...
Homotopy perturbation method for fractional-order Burgers-Poisson equation
Homotopy perturbation Burgers-Poisson equation time derivative
2010/4/2
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit ...