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* Albrecht Dold R.I.P.
@ 2011-10-08 21:22 F William Lawvere
  0 siblings, 0 replies; 5+ messages in thread
From: F William Lawvere @ 2011-10-08 21:22 UTC (permalink / raw)
  To: categories

The depth of content and clarity of presentation that we saw in 
Albrecht Dold's 1960 Columbia course had a lasting impact on 
several, including me. I well remember the generosity he showed me
in Heidelberg 1965. Myles Tierney and I will not forget 
that it was in the house of Albrecht and Yvonne in 1969
that we agreed to collaborate on the elementary theory of toposes.

There are so  many things that I still hoped to ask him.....

Bill






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^ permalink raw reply	[flat|nested] 5+ messages in thread

* Re: Albrecht Dold, R.i.P.
  2011-10-07  1:13 Albrecht Dold, R.i.P Fred E.J. Linton
  2011-10-07 13:15 ` Andreas Blass
@ 2011-10-08  7:27 ` Ross Street
  1 sibling, 0 replies; 5+ messages in thread
From: Ross Street @ 2011-10-08  7:27 UTC (permalink / raw)
  To: Fred E.J. Linton; +Cc: categories

One of the first papers Max Kelly told me to read when I started
graduate work was
Albrecht Dold, "Zur Homotopietheorie der Kettenkomplexe"
Math. Ann. 140 1960 278–298.
When I returned with a complete translation into English, Max
was very critical. He said that was not the way to read a paper
in another language. Eventually I met Dold several times.

At the invitation of Murray Adelman, Dold visited Macquarie.
At the same time, Steve Schanuel was visiting me. This was
an exciting time since the two visitors recognized that Dold's
work on trace was relevant to Schanuel's work on Euler
characteristic. The two charismatic guests were a delight to
be around. They generated so much excitement about the
mathematics.

Albrecht Dold was a genuine European gentleman and I will
remember him as looking much younger and energetic than
his years.

[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


^ permalink raw reply	[flat|nested] 5+ messages in thread

* Re: Albrecht Dold, R.i.P.
  2011-10-07 13:15 ` Andreas Blass
@ 2011-10-07 21:13   ` Ronnie Brown
  0 siblings, 0 replies; 5+ messages in thread
From: Ronnie Brown @ 2011-10-07 21:13 UTC (permalink / raw)
  Cc: categories

Two major things I learned from Albrecht Dold. One was the Dod-Kan 
theorem, on the equivalence between chain complexes and simplicial 
abelian groups, which was a major input to my doctoral thesis on the 
finding k-invariants  of function spaces; and second,  when in the 1960s 
he was lecturing at Liverpool on half-exact functors, I realised that 
for publication purposes on this material,  I could cut out long and  
detailed formulae for a homotopy equivalence making a diagram 
commutative, since its existence followed from naturality!

Both of these aspects have continued to influence my work on crossed 
complexes and nonabelian algebraic topology.

Ronnie

On 07/10/2011 14:15, Andreas Blass wrote:
> Albrecht Dold taught the algebraic topology course that I took in my first year as a graduate student.  His beautifully organized presentation of this material was largely responsible for my becoming interested in category theory.  He made both the power and the beauty of functors evident.
>
> Andreas Blass
>
> Begin forwarded message:
>
>> From: "Fred E.J. Linton"<fejlinton@usa.net>
>> Date: 6 October, 2011 9:13:26 PM EDT
>> To: "categories"<categories@mta.ca>
>> Subject: categories: Albrecht Dold, R.i.P.
>> Reply-To: "Fred E.J. Linton"<fejlinton@usa.net>
>>
>>  From today's IMU newsletter:
>>
>> | 6. DEATH OF ALBRECHT DOLD ON 26-09-2011.
>> |
>> | Albrecht Dold, known for fundamental contributions to algebraic
>> | topology, was born in Germany in 1928. He held positions in Heidelberg,
>> | Zürich, Princeton and Columbia. He has been Vice-president of IMU in
>> 1995-98.
>>
>> I particularly mourn his passing, as it was Dold's algebraic topology
>> lectures at Columbia around 1961 (+/- 1) that taught me virtually all
>> I know, or would ever learn later, about the Yoneda Lemma.
>>
>> Born August 5, 1928, in Triberg, Germany, and barely a teenager during
>> WW II, Dold would have been 83 at the time of his death.
>>
>> -- Fred

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^ permalink raw reply	[flat|nested] 5+ messages in thread

* Albrecht Dold, R.i.P.
  2011-10-07  1:13 Albrecht Dold, R.i.P Fred E.J. Linton
@ 2011-10-07 13:15 ` Andreas Blass
  2011-10-07 21:13   ` Ronnie Brown
  2011-10-08  7:27 ` Ross Street
  1 sibling, 1 reply; 5+ messages in thread
From: Andreas Blass @ 2011-10-07 13:15 UTC (permalink / raw)
  To: categories

Albrecht Dold taught the algebraic topology course that I took in my first year as a graduate student.  His beautifully organized presentation of this material was largely responsible for my becoming interested in category theory.  He made both the power and the beauty of functors evident.

Andreas Blass

Begin forwarded message:

> From: "Fred E.J. Linton" <fejlinton@usa.net>
> Date: 6 October, 2011 9:13:26 PM EDT
> To: "categories" <categories@mta.ca>
> Subject: categories: Albrecht Dold, R.i.P.
> Reply-To: "Fred E.J. Linton" <fejlinton@usa.net>
> 
> From today's IMU newsletter:
> 
> | 6. DEATH OF ALBRECHT DOLD ON 26-09-2011.
> |
> | Albrecht Dold, known for fundamental contributions to algebraic
> | topology, was born in Germany in 1928. He held positions in Heidelberg,
> | Zürich, Princeton and Columbia. He has been Vice-president of IMU in
> 1995-98.
> 
> I particularly mourn his passing, as it was Dold's algebraic topology 
> lectures at Columbia around 1961 (+/- 1) that taught me virtually all 
> I know, or would ever learn later, about the Yoneda Lemma.
> 
> Born August 5, 1928, in Triberg, Germany, and barely a teenager during 
> WW II, Dold would have been 83 at the time of his death.
> 
> -- Fred



[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


^ permalink raw reply	[flat|nested] 5+ messages in thread

* Albrecht Dold, R.i.P.
@ 2011-10-07  1:13 Fred E.J. Linton
  2011-10-07 13:15 ` Andreas Blass
  2011-10-08  7:27 ` Ross Street
  0 siblings, 2 replies; 5+ messages in thread
From: Fred E.J. Linton @ 2011-10-07  1:13 UTC (permalink / raw)
  To: categories

From today's IMU newsletter:

| 6. DEATH OF ALBRECHT DOLD ON 26-09-2011.
|
| Albrecht Dold, known for fundamental contributions to algebraic
| topology, was born in Germany in 1928. He held positions in Heidelberg,
| Zürich, Princeton and Columbia. He has been Vice-president of IMU in
1995-98.

I particularly mourn his passing, as it was Dold's algebraic topology 
lectures at Columbia around 1961 (+/- 1) that taught me virtually all 
I know, or would ever learn later, about the Yoneda Lemma.

Born August 5, 1928, in Triberg, Germany, and barely a teenager during 
WW II, Dold would have been 83 at the time of his death.

-- Fred



[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


^ permalink raw reply	[flat|nested] 5+ messages in thread

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2011-10-07 13:15 ` Andreas Blass
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2011-10-08  7:27 ` Ross Street

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