Abstract: Uncovering hidden relations in complex data sets is a key step to making sense of the data, which is a hot topic in our era of data deluge. Graph-based representations are examples of tools ...
Abstract: Algebraic topology studies topological spaces with the help of tools from abstract algebra. The main focus of this paper is to show that many concepts from algebraic topology can be ...
The course builds on MAT4520 – Manifolds and MAT4530 – Algebraic Topology I. The content will vary, but can include singular cohomology and homotopy theory. Students admitted at UiO must apply for ...
Given the current state of practice and visions for the future (including AI), certain practices should be reevaluated. This ...
Welcome! This is a website documenting my solutions to the exercises in Allen Hatcher's Algebraic Topology. The author has included useful information about the book on the book's download page. See ...
Can you chip in? As an independent nonprofit, the Internet Archive is fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, ...
The course builds on MAT4520 – Manifolds and MAT4530 – Algebraic Topology I. The content will vary, but can include singular cohomology and homotopy theory. PhD candidates from the Faculty of ...
The following lecture notes are taken during my year in Part III of the MASt Pure Mathematics course in the University of Cambridge. You can download them via the ...
Dec 7, 2025 There are two ways to stick SU(2) × SU(3) in Spin(10). One is good for physics; the other, alas, is easily obtained using the octonions.
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