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Articles 1 - 4 of 4
Full-Text Articles in Algebraic Geometry
The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas
The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas
Theses Digitization Project
This thesis deals with the field of algebraic topology. Basic topological facts are addressed including open and closed sets, continuity, homeomorphisms, and path connectedness as well as discussing Van Kampen's Theorem in detail.
Geometric Theorem Proving Using The Groebner Basis Algorithm, Karla Friné Rivas
Geometric Theorem Proving Using The Groebner Basis Algorithm, Karla Friné Rivas
Theses Digitization Project
The purpose fo this project is to study ideals in polynomial rings and affine varieties in order to establish a connection between these two different concepts. Doing so will lead to an in depth examination of Groebner bases. Once this has been defined, step will be outlined that will enable the application of the Groebner Basis Algorithm to geometric problems.
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
Theses Digitization Project
The purpose of this project is to construct finite homomorphic images of infinite semi-direct products. We will construct two finite homomorphic images, L₂ (8) and PGL₂ (9) of the infinite semi-direct product 2*³ : S₃. The main part of this project is to construct the double cover 2 - M₂₂ : 2 and the automorphism group M₂₂ : 2 of the Matheiu sporadic group M₂₂ as a homomorphic image of the progenitor 2*⁷ : L₃ (2).
The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas
The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas
Theses Digitization Project
This project is an expository survey of the Universal Coefficient Theorem for Cohomology. Algebraic preliminaries, homology, and cohomology are discussed prior to the proof of the theorem.