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  • 217 votes cast
Nov
21
revised Showing bilinearity of the tensor product
added 175 characters in body
Nov
21
comment Showing bilinearity of the tensor product
@makholm: thanks.
Nov
21
asked Showing bilinearity of the tensor product
Nov
15
answered Why can't sin(1/x) be differentiated
Oct
14
comment What is a Manifold?
This generalises to higher dimensions, for example contrast the flat plane vs the fractal plane; BTW it's usually considered good site citizenship to upvote an answer you like ... :).
Oct
14
comment What is a Manifold?
@philosophicalphysics: a good intuitive picture is to contrast smooth against rough; a smooth line would be something like a straight line, a rough one would be something like a fractal; and this can be made precise - a smooth line is straight when looked at a small enough scale, but a fractal is never straight no matter how closely you look at it.
Oct
14
answered Linear independence, Spanning, Injectivity, and Surjectivity
Oct
3
comment Is Homeo$(X)$ metrizable?
This satisfies your additional conditions; so these restrictions don't allow a metric to be given there either.
Oct
3
comment Is Homeo$(X)$ metrizable?
In general no: for example, space of homeomorphisms of the real line is not normal; and hence not metrisable.
Oct
3
answered Is $\emptyset$ in $R^n$ an open set?
Oct
3
answered What is a Manifold?
Sep
23
comment How do I teach university level mathematics to myself?
The other possibility is classical mechanics - it introduces you to calculus and it's concrete.
Sep
23
comment How do I teach university level mathematics to myself?
Linear algebra is straight-forward and useful; it's usually one of the first courses that is studied in the first year of an undergraduate degree; but really it depends where you are with your own studies.
Sep
22
accepted Is the category of elements an example of a fibred category?
Sep
22
revised Is the category of elements an example of a fibred category?
added 45 characters in body
Sep
22
asked Is the category of elements an example of a fibred category?
Sep
11
revised How Advanced is 'Elementary' Linear Algebra?
added 536 characters in body
Sep
11
answered How Advanced is 'Elementary' Linear Algebra?
Jul
20
accepted What algebraic structure do self-adjoint operators form?
Jun
24
accepted Is there a largest large cardinal?