Welcome to Marcel's Home Page on the World Wide Web!


The raddest pad on the Net!



COMP 690LING 445MATH 595

An $n$-dimensional smooth manifold is a second countable Hausdorff space $M^n$ together with a collection of maps called "charts" such that:

This definition is given in Bredon (1993). If $M$ is a smooth manifold with an inner product $\langle \cdot, \cdot\rangle_x$ on the tangent space $T_xM$ for every $x\in M$, and $\langle \cdot,\cdot\rangle_x$ varies smoothly with respect to $x$, then $M$ is called a Riemannian manifold. If, in addition, $M$ is connected, homogeneous, and there is an involutive isometry of $M$ with at least one isolated fixed point, then $M$ is called a symmetric space.


Crest McGill

𓅓 MinervamyCoursesVSB 𓁼 Lecture recordingsMcGill E-Mailr/mcgill

Crest Research

arXivGoogle ScholarResearchGate 𐂷 Mathematics genealogyCollaboration distance calculator

Crest Mathematics

DesmosOEISRichard E. Borcherds lecturesGraph Theory and Additive Combinatorics lecturesCambridge notes

Crest Computer Science

EWD Archive 𝛌 SICP lecturesKnuth lectures 𓆛 Beluga repository

Crest Typesetting

CM fontsCM font tablesTeX cheat sheetPostScript commands

Crest Linguistics

IPA chartWiktionarySLUM Rocket.Chat

Crest Reviews

Games I've finishedOld articles (2011-2017)

Crest Other

Dvořák's 8thlofi hip hopGrade CalculatorNYT Crossword

my homies

𓋙 Anna Brandenberger 𓀘 Luc Devroye 𓂀 Shereen Elaidi 𓆈 Stephen Fay 𓀲 Jad Hamdan 𓃵 Cheng Lin 𓃠 Diego Lopez 𓆉 Donald Knuth 𓆸 Rosie Zhao

Math Stack Exchange profile Project Euler progress

Valid HTML 4.01 Transitional

Back to main blog

Copyright © 2018-20 Marcel Goh