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An amateur general topology researcher.


Mar
1
comment Totally bounded uniform spaces vs proximity spaces (need proof)
@HennoBrandsma: I haven't yet understood, why "These sets form a base for a totally bounded uniformity on $X$" at ncatlab.org/nlab/show/proximity+space
Feb
28
comment Cauchy filters defined for proximity spaces?
Hm... maybe all proximity spaces are totally bounded? We need examples or counter-examples
Feb
28
asked Totally bounded uniform spaces vs proximity spaces (need proof)
Feb
28
revised Cauchy filters defined for proximity spaces?
added 6 characters in body
Feb
28
asked Cauchy filters defined for proximity spaces?
Feb
27
accepted Three definition of total boundness (for uniform spaces)
Feb
27
comment Three definition of total boundness (for uniform spaces)
I don't understand why $M \subset D[x]$
Feb
27
comment Connectedness in proximity spaces
I've edited the question. Now it is a somehow different conjecture
Feb
27
revised Connectedness in proximity spaces
added 95 characters in body
Feb
26
comment A fuzzy formulated problem about partial and total orders
One way to exactly define "dense" is to mean "maximal". That is we may require that our total order is a maximal total order
Feb
26
asked A fuzzy formulated problem about partial and total orders
Feb
25
comment Three definition of total boundness (for uniform spaces)
@MartinBrandenburg: It is an advise which calls for a good thing, but is difficult to accomplish. If you want help me to rewrite my book, become a co-author and write yourself. I have no better idea on how to accomplish your advise
Feb
25
asked Three definition of total boundness (for uniform spaces)
Feb
24
revised Minimal Cauchy filters in Cauchy spaces
edited title
Feb
24
asked Minimal Cauchy filters in Cauchy spaces
Feb
21
accepted The neighbourhood filter of each point is a minimal Cauchy filter
Feb
21
revised The neighbourhood filter of each point is a minimal Cauchy filter
added 32 characters in body
Feb
21
comment The neighbourhood filter of each point is a minimal Cauchy filter
I have already proved that it is a Cauchy filter. But how to show that it is minimal?
Feb
21
asked The neighbourhood filter of each point is a minimal Cauchy filter
Feb
21
accepted Maximal Cauchy filter